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Finding the Fourth Proportional to 9,295.88, 12,824.65 and 5,314.85

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Solution

The fourth proportional to 9,295.88, 12,824.65 and 5,314.85 is: 7,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.88 : 12,824.65 = 5,314.85 : x
  2. Step 2: Convert to fraction form
    9,295.88/12,824.65 = 5,314.85/x
  3. Step 3: Cross multiply
    9,295.88x = 12,824.65 × 5,314.85
  4. Step 4: Simplify right side
    9,295.88x = 68,161,051.77
  5. Step 5: Solve for x
    x = 68,161,051.77/9,295.88
  6. Step 6: Final answer
    x = 7,332.39

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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.