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Finding the Fourth Proportional to 6,842.20, 9,437.16 and 4,047.70

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Solution

The fourth proportional to 6,842.20, 9,437.16 and 4,047.70 is: 5,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.20 : 9,437.16 = 4,047.70 : x
  2. Step 2: Convert to fraction form
    6,842.20/9,437.16 = 4,047.70/x
  3. Step 3: Cross multiply
    6,842.20x = 9,437.16 × 4,047.70
  4. Step 4: Simplify right side
    6,842.20x = 38,198,792.53
  5. Step 5: Solve for x
    x = 38,198,792.53/6,842.20
  6. Step 6: Final answer
    x = 5,582.82

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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.