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Finding the Fourth Proportional to 6,842.32, 9,442.49 and 4,152.76

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Solution

The fourth proportional to 6,842.32, 9,442.49 and 4,152.76 is: 5,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.32 : 9,442.49 = 4,152.76 : x
  2. Step 2: Convert to fraction form
    6,842.32/9,442.49 = 4,152.76/x
  3. Step 3: Cross multiply
    6,842.32x = 9,442.49 × 4,152.76
  4. Step 4: Simplify right side
    6,842.32x = 39,212,350.40
  5. Step 5: Solve for x
    x = 39,212,350.40/6,842.32
  6. Step 6: Final answer
    x = 5,730.86

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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.