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Finding the Fourth Proportional to 9,630,953.88, 13,289,978.74 and 5,500,414.82

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Solution

The fourth proportional to 9,630,953.88, 13,289,978.74 and 5,500,414.82 is: 7,590,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630,953.88 : 13,289,978.74 = 5,500,414.82 : x
  2. Step 2: Convert to fraction form
    9,630,953.88/13,289,978.74 = 5,500,414.82/x
  3. Step 3: Cross multiply
    9,630,953.88x = 13,289,978.74 × 5,500,414.82
  4. Step 4: Simplify right side
    9,630,953.88x = 73,100,396,033,295.45
  5. Step 5: Solve for x
    x = 73,100,396,033,295.45/9,630,953.88
  6. Step 6: Final answer
    x = 7,590,151.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.