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Finding the Fourth Proportional to 6,384.60, 9,575.82 and 2,687.40

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Solution

The fourth proportional to 6,384.60, 9,575.82 and 2,687.40 is: 4,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.60 : 9,575.82 = 2,687.40 : x
  2. Step 2: Convert to fraction form
    6,384.60/9,575.82 = 2,687.40/x
  3. Step 3: Cross multiply
    6,384.60x = 9,575.82 × 2,687.40
  4. Step 4: Simplify right side
    6,384.60x = 25,734,058.67
  5. Step 5: Solve for x
    x = 25,734,058.67/6,384.60
  6. Step 6: Final answer
    x = 4,030.65

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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.