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Finding the Fourth Proportional to 9,224.71, 12,730.25 and 5,032.96

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Solution

The fourth proportional to 9,224.71, 12,730.25 and 5,032.96 is: 6,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.71 : 12,730.25 = 5,032.96 : x
  2. Step 2: Convert to fraction form
    9,224.71/12,730.25 = 5,032.96/x
  3. Step 3: Cross multiply
    9,224.71x = 12,730.25 × 5,032.96
  4. Step 4: Simplify right side
    9,224.71x = 64,070,839.04
  5. Step 5: Solve for x
    x = 64,070,839.04/9,224.71
  6. Step 6: Final answer
    x = 6,945.57

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