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Finding the Fourth Proportional to 6,160.32, 9,237.92 and 2,464.32

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Solution

The fourth proportional to 6,160.32, 9,237.92 and 2,464.32 is: 3,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.32 : 9,237.92 = 2,464.32 : x
  2. Step 2: Convert to fraction form
    6,160.32/9,237.92 = 2,464.32/x
  3. Step 3: Cross multiply
    6,160.32x = 9,237.92 × 2,464.32
  4. Step 4: Simplify right side
    6,160.32x = 22,765,191.01
  5. Step 5: Solve for x
    x = 22,765,191.01/6,160.32
  6. Step 6: Final answer
    x = 3,695.46

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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.