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Finding the Fourth Proportional to 35,397.60, 53,098.32 and 9,102.56

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Solution

The fourth proportional to 35,397.60, 53,098.32 and 9,102.56 is: 13,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397.60 : 53,098.32 = 9,102.56 : x
  2. Step 2: Convert to fraction form
    35,397.60/53,098.32 = 9,102.56/x
  3. Step 3: Cross multiply
    35,397.60x = 53,098.32 × 9,102.56
  4. Step 4: Simplify right side
    35,397.60x = 483,330,643.70
  5. Step 5: Solve for x
    x = 483,330,643.70/35,397.60
  6. Step 6: Final answer
    x = 13,654.33

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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.