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Finding the Fourth Proportional to 9,243.60, 13,874.10 and 4,864.20

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Solution

The fourth proportional to 9,243.60, 13,874.10 and 4,864.20 is: 7,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.60 : 13,874.10 = 4,864.20 : x
  2. Step 2: Convert to fraction form
    9,243.60/13,874.10 = 4,864.20/x
  3. Step 3: Cross multiply
    9,243.60x = 13,874.10 × 4,864.20
  4. Step 4: Simplify right side
    9,243.60x = 67,486,397.22
  5. Step 5: Solve for x
    x = 67,486,397.22/9,243.60
  6. Step 6: Final answer
    x = 7,300.88

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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.