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Finding the Fourth Proportional to 9,665.52, 14,495.91 and 2,645.55

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Solution

The fourth proportional to 9,665.52, 14,495.91 and 2,645.55 is: 3,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.52 : 14,495.91 = 2,645.55 : x
  2. Step 2: Convert to fraction form
    9,665.52/14,495.91 = 2,645.55/x
  3. Step 3: Cross multiply
    9,665.52x = 14,495.91 × 2,645.55
  4. Step 4: Simplify right side
    9,665.52x = 38,349,654.70
  5. Step 5: Solve for x
    x = 38,349,654.70/9,665.52
  6. Step 6: Final answer
    x = 3,967.68

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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.