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Finding the Fourth Proportional to 9,543.47, 14,318.84 and 5,388.17

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Solution

The fourth proportional to 9,543.47, 14,318.84 and 5,388.17 is: 8,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.47 : 14,318.84 = 5,388.17 : x
  2. Step 2: Convert to fraction form
    9,543.47/14,318.84 = 5,388.17/x
  3. Step 3: Cross multiply
    9,543.47x = 14,318.84 × 5,388.17
  4. Step 4: Simplify right side
    9,543.47x = 77,152,286.00
  5. Step 5: Solve for x
    x = 77,152,286.00/9,543.47
  6. Step 6: Final answer
    x = 8,084.31

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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.