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Finding the Fourth Proportional to 9,387.95, 14,084.87 and 5,644.04

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Solution

The fourth proportional to 9,387.95, 14,084.87 and 5,644.04 is: 8,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.95 : 14,084.87 = 5,644.04 : x
  2. Step 2: Convert to fraction form
    9,387.95/14,084.87 = 5,644.04/x
  3. Step 3: Cross multiply
    9,387.95x = 14,084.87 × 5,644.04
  4. Step 4: Simplify right side
    9,387.95x = 79,495,471.03
  5. Step 5: Solve for x
    x = 79,495,471.03/9,387.95
  6. Step 6: Final answer
    x = 8,467.82

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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.