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Finding the Fourth Proportional to 9,041.20, 13,535.40 and 6,449.20

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Solution

The fourth proportional to 9,041.20, 13,535.40 and 6,449.20 is: 9,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.20 : 13,535.40 = 6,449.20 : x
  2. Step 2: Convert to fraction form
    9,041.20/13,535.40 = 6,449.20/x
  3. Step 3: Cross multiply
    9,041.20x = 13,535.40 × 6,449.20
  4. Step 4: Simplify right side
    9,041.20x = 87,292,501.68
  5. Step 5: Solve for x
    x = 87,292,501.68/9,041.20
  6. Step 6: Final answer
    x = 9,654.97

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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.