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Finding the Fourth Proportional to 9,748.58, 14,614.68 and 3,902

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Solution

The fourth proportional to 9,748.58, 14,614.68 and 3,902 is: 5,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.58 : 14,614.68 = 3,902 : x
  2. Step 2: Convert to fraction form
    9,748.58/14,614.68 = 3,902/x
  3. Step 3: Cross multiply
    9,748.58x = 14,614.68 × 3,902
  4. Step 4: Simplify right side
    9,748.58x = 57,026,481.36
  5. Step 5: Solve for x
    x = 57,026,481.36/9,748.58
  6. Step 6: Final answer
    x = 5,849.72

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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.