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Finding the Fourth Proportional to 9,639.72, 14,458.14 and 8,006.76

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Solution

The fourth proportional to 9,639.72, 14,458.14 and 8,006.76 is: 12,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.72 : 14,458.14 = 8,006.76 : x
  2. Step 2: Convert to fraction form
    9,639.72/14,458.14 = 8,006.76/x
  3. Step 3: Cross multiply
    9,639.72x = 14,458.14 × 8,006.76
  4. Step 4: Simplify right side
    9,639.72x = 115,762,857.03
  5. Step 5: Solve for x
    x = 115,762,857.03/9,639.72
  6. Step 6: Final answer
    x = 12,008.94

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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.