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Finding the Fourth Proportional to 6,337.20, 9,505.80 and 3,842.40

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Solution

The fourth proportional to 6,337.20, 9,505.80 and 3,842.40 is: 5,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.20 : 9,505.80 = 3,842.40 : x
  2. Step 2: Convert to fraction form
    6,337.20/9,505.80 = 3,842.40/x
  3. Step 3: Cross multiply
    6,337.20x = 9,505.80 × 3,842.40
  4. Step 4: Simplify right side
    6,337.20x = 36,525,085.92
  5. Step 5: Solve for x
    x = 36,525,085.92/6,337.20
  6. Step 6: Final answer
    x = 5,763.60

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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.