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Finding the Fourth Proportional to 7,132.42, 9,842.78 and 3,902.34

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Solution

The fourth proportional to 7,132.42, 9,842.78 and 3,902.34 is: 5,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.42 : 9,842.78 = 3,902.34 : x
  2. Step 2: Convert to fraction form
    7,132.42/9,842.78 = 3,902.34/x
  3. Step 3: Cross multiply
    7,132.42x = 9,842.78 × 3,902.34
  4. Step 4: Simplify right side
    7,132.42x = 38,409,920.77
  5. Step 5: Solve for x
    x = 38,409,920.77/7,132.42
  6. Step 6: Final answer
    x = 5,385.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.