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Finding the Fourth Proportional to 9,549.12, 14,320.08 and 5,654.64

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Solution

The fourth proportional to 9,549.12, 14,320.08 and 5,654.64 is: 8,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.12 : 14,320.08 = 5,654.64 : x
  2. Step 2: Convert to fraction form
    9,549.12/14,320.08 = 5,654.64/x
  3. Step 3: Cross multiply
    9,549.12x = 14,320.08 × 5,654.64
  4. Step 4: Simplify right side
    9,549.12x = 80,974,897.17
  5. Step 5: Solve for x
    x = 80,974,897.17/9,549.12
  6. Step 6: Final answer
    x = 8,479.83

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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.