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Finding the Fourth Proportional to 9,129.60, 13,683.04 and 4,744.48

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Solution

The fourth proportional to 9,129.60, 13,683.04 and 4,744.48 is: 7,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.60 : 13,683.04 = 4,744.48 : x
  2. Step 2: Convert to fraction form
    9,129.60/13,683.04 = 4,744.48/x
  3. Step 3: Cross multiply
    9,129.60x = 13,683.04 × 4,744.48
  4. Step 4: Simplify right side
    9,129.60x = 64,918,909.62
  5. Step 5: Solve for x
    x = 64,918,909.62/9,129.60
  6. Step 6: Final answer
    x = 7,110.82

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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.