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Finding the Fourth Proportional to 9,713.28, 14,569.92 and 4,522.80

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Solution

The fourth proportional to 9,713.28, 14,569.92 and 4,522.80 is: 6,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.28 : 14,569.92 = 4,522.80 : x
  2. Step 2: Convert to fraction form
    9,713.28/14,569.92 = 4,522.80/x
  3. Step 3: Cross multiply
    9,713.28x = 14,569.92 × 4,522.80
  4. Step 4: Simplify right side
    9,713.28x = 65,896,834.18
  5. Step 5: Solve for x
    x = 65,896,834.18/9,713.28
  6. Step 6: Final answer
    x = 6,784.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.