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Finding the Fourth Proportional to 9,665.90, 14,516.45 and 8,456.30

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Solution

The fourth proportional to 9,665.90, 14,516.45 and 8,456.30 is: 12,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.90 : 14,516.45 = 8,456.30 : x
  2. Step 2: Convert to fraction form
    9,665.90/14,516.45 = 8,456.30/x
  3. Step 3: Cross multiply
    9,665.90x = 14,516.45 × 8,456.30
  4. Step 4: Simplify right side
    9,665.90x = 122,755,456.14
  5. Step 5: Solve for x
    x = 122,755,456.14/9,665.90
  6. Step 6: Final answer
    x = 12,699.85

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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.