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Finding the Fourth Proportional to 9,730.30, 13,425.38 and 5,480.50

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Solution

The fourth proportional to 9,730.30, 13,425.38 and 5,480.50 is: 7,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.30 : 13,425.38 = 5,480.50 : x
  2. Step 2: Convert to fraction form
    9,730.30/13,425.38 = 5,480.50/x
  3. Step 3: Cross multiply
    9,730.30x = 13,425.38 × 5,480.50
  4. Step 4: Simplify right side
    9,730.30x = 73,577,795.09
  5. Step 5: Solve for x
    x = 73,577,795.09/9,730.30
  6. Step 6: Final answer
    x = 7,561.72

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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.