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Finding the Fourth Proportional to 9,532.27, 14,196.74 and 8,966.89

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Solution

The fourth proportional to 9,532.27, 14,196.74 and 8,966.89 is: 13,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.27 : 14,196.74 = 8,966.89 : x
  2. Step 2: Convert to fraction form
    9,532.27/14,196.74 = 8,966.89/x
  3. Step 3: Cross multiply
    9,532.27x = 14,196.74 × 8,966.89
  4. Step 4: Simplify right side
    9,532.27x = 127,300,605.94
  5. Step 5: Solve for x
    x = 127,300,605.94/9,532.27
  6. Step 6: Final answer
    x = 13,354.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.