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Finding the Fourth Proportional to 9,132.48, 13,672.80 and 6,206.40

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Solution

The fourth proportional to 9,132.48, 13,672.80 and 6,206.40 is: 9,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.48 : 13,672.80 = 6,206.40 : x
  2. Step 2: Convert to fraction form
    9,132.48/13,672.80 = 6,206.40/x
  3. Step 3: Cross multiply
    9,132.48x = 13,672.80 × 6,206.40
  4. Step 4: Simplify right side
    9,132.48x = 84,858,865.92
  5. Step 5: Solve for x
    x = 84,858,865.92/9,132.48
  6. Step 6: Final answer
    x = 9,291.98

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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.