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Finding the Fourth Proportional to 6,233.74, 9,351.68 and 3,113.88

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Solution

The fourth proportional to 6,233.74, 9,351.68 and 3,113.88 is: 4,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.74 : 9,351.68 = 3,113.88 : x
  2. Step 2: Convert to fraction form
    6,233.74/9,351.68 = 3,113.88/x
  3. Step 3: Cross multiply
    6,233.74x = 9,351.68 × 3,113.88
  4. Step 4: Simplify right side
    6,233.74x = 29,120,009.32
  5. Step 5: Solve for x
    x = 29,120,009.32/6,233.74
  6. Step 6: Final answer
    x = 4,671.35

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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.