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Finding the Fourth Proportional to 9,569.66, 14,377.04 and 5,631.02

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Solution

The fourth proportional to 9,569.66, 14,377.04 and 5,631.02 is: 8,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.66 : 14,377.04 = 5,631.02 : x
  2. Step 2: Convert to fraction form
    9,569.66/14,377.04 = 5,631.02/x
  3. Step 3: Cross multiply
    9,569.66x = 14,377.04 × 5,631.02
  4. Step 4: Simplify right side
    9,569.66x = 80,957,399.78
  5. Step 5: Solve for x
    x = 80,957,399.78/9,569.66
  6. Step 6: Final answer
    x = 8,459.80

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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.