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Finding the Fourth Proportional to 6,340.61, 9,510.91 and 2,442.29

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Solution

The fourth proportional to 6,340.61, 9,510.91 and 2,442.29 is: 3,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.61 : 9,510.91 = 2,442.29 : x
  2. Step 2: Convert to fraction form
    6,340.61/9,510.91 = 2,442.29/x
  3. Step 3: Cross multiply
    6,340.61x = 9,510.91 × 2,442.29
  4. Step 4: Simplify right side
    6,340.61x = 23,228,346.72
  5. Step 5: Solve for x
    x = 23,228,346.72/6,340.61
  6. Step 6: Final answer
    x = 3,663.42

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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.