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Finding the Fourth Proportional to 9,685.47, 14,515.44 and 3,838.89

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Solution

The fourth proportional to 9,685.47, 14,515.44 and 3,838.89 is: 5,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.47 : 14,515.44 = 3,838.89 : x
  2. Step 2: Convert to fraction form
    9,685.47/14,515.44 = 3,838.89/x
  3. Step 3: Cross multiply
    9,685.47x = 14,515.44 × 3,838.89
  4. Step 4: Simplify right side
    9,685.47x = 55,723,177.46
  5. Step 5: Solve for x
    x = 55,723,177.46/9,685.47
  6. Step 6: Final answer
    x = 5,753.28

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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.