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Finding the Fourth Proportional to 6,385.20, 9,574.56 and 3,264.72

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Solution

The fourth proportional to 6,385.20, 9,574.56 and 3,264.72 is: 4,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.20 : 9,574.56 = 3,264.72 : x
  2. Step 2: Convert to fraction form
    6,385.20/9,574.56 = 3,264.72/x
  3. Step 3: Cross multiply
    6,385.20x = 9,574.56 × 3,264.72
  4. Step 4: Simplify right side
    6,385.20x = 31,258,257.52
  5. Step 5: Solve for x
    x = 31,258,257.52/6,385.20
  6. Step 6: Final answer
    x = 4,895.42

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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.