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Finding the Fourth Proportional to 6,242.32, 9,358.40 and 4,262.96

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Solution

The fourth proportional to 6,242.32, 9,358.40 and 4,262.96 is: 6,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.32 : 9,358.40 = 4,262.96 : x
  2. Step 2: Convert to fraction form
    6,242.32/9,358.40 = 4,262.96/x
  3. Step 3: Cross multiply
    6,242.32x = 9,358.40 × 4,262.96
  4. Step 4: Simplify right side
    6,242.32x = 39,894,484.86
  5. Step 5: Solve for x
    x = 39,894,484.86/6,242.32
  6. Step 6: Final answer
    x = 6,390.97

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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.