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Finding the Fourth Proportional to 9,158.47, 13,737.67 and 3,313.71

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Solution

The fourth proportional to 9,158.47, 13,737.67 and 3,313.71 is: 4,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.47 : 13,737.67 = 3,313.71 : x
  2. Step 2: Convert to fraction form
    9,158.47/13,737.67 = 3,313.71/x
  3. Step 3: Cross multiply
    9,158.47x = 13,737.67 × 3,313.71
  4. Step 4: Simplify right side
    9,158.47x = 45,522,646.17
  5. Step 5: Solve for x
    x = 45,522,646.17/9,158.47
  6. Step 6: Final answer
    x = 4,970.55

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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.