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Finding the Fourth Proportional to 9,508.60, 14,265.32 and 3,663.64

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Solution

The fourth proportional to 9,508.60, 14,265.32 and 3,663.64 is: 5,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.60 : 14,265.32 = 3,663.64 : x
  2. Step 2: Convert to fraction form
    9,508.60/14,265.32 = 3,663.64/x
  3. Step 3: Cross multiply
    9,508.60x = 14,265.32 × 3,663.64
  4. Step 4: Simplify right side
    9,508.60x = 52,262,996.96
  5. Step 5: Solve for x
    x = 52,262,996.96/9,508.60
  6. Step 6: Final answer
    x = 5,496.39

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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.