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Finding the Fourth Proportional to 6,520.38, 9,767.88 and 4,322.58

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Solution

The fourth proportional to 6,520.38, 9,767.88 and 4,322.58 is: 6,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.38 : 9,767.88 = 4,322.58 : x
  2. Step 2: Convert to fraction form
    6,520.38/9,767.88 = 4,322.58/x
  3. Step 3: Cross multiply
    6,520.38x = 9,767.88 × 4,322.58
  4. Step 4: Simplify right side
    6,520.38x = 42,222,442.73
  5. Step 5: Solve for x
    x = 42,222,442.73/6,520.38
  6. Step 6: Final answer
    x = 6,475.46

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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.