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Finding the Fourth Proportional to 6,295.80, 9,442.08 and 2,400.24

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Solution

The fourth proportional to 6,295.80, 9,442.08 and 2,400.24 is: 3,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.80 : 9,442.08 = 2,400.24 : x
  2. Step 2: Convert to fraction form
    6,295.80/9,442.08 = 2,400.24/x
  3. Step 3: Cross multiply
    6,295.80x = 9,442.08 × 2,400.24
  4. Step 4: Simplify right side
    6,295.80x = 22,663,258.10
  5. Step 5: Solve for x
    x = 22,663,258.10/6,295.80
  6. Step 6: Final answer
    x = 3,599.74

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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.