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Finding the Fourth Proportional to 9,432.81, 13,017.48 and 5,454.09

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Solution

The fourth proportional to 9,432.81, 13,017.48 and 5,454.09 is: 7,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.81 : 13,017.48 = 5,454.09 : x
  2. Step 2: Convert to fraction form
    9,432.81/13,017.48 = 5,454.09/x
  3. Step 3: Cross multiply
    9,432.81x = 13,017.48 × 5,454.09
  4. Step 4: Simplify right side
    9,432.81x = 70,998,507.49
  5. Step 5: Solve for x
    x = 70,998,507.49/9,432.81
  6. Step 6: Final answer
    x = 7,526.76

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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.