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Finding the Fourth Proportional to 9,291.48, 13,934.06 and 3,743.40

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Solution

The fourth proportional to 9,291.48, 13,934.06 and 3,743.40 is: 5,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.48 : 13,934.06 = 3,743.40 : x
  2. Step 2: Convert to fraction form
    9,291.48/13,934.06 = 3,743.40/x
  3. Step 3: Cross multiply
    9,291.48x = 13,934.06 × 3,743.40
  4. Step 4: Simplify right side
    9,291.48x = 52,160,760.20
  5. Step 5: Solve for x
    x = 52,160,760.20/9,291.48
  6. Step 6: Final answer
    x = 5,613.83

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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.