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Finding the Fourth Proportional to 6,589.60, 9,873.45 and 4,637.71

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Solution

The fourth proportional to 6,589.60, 9,873.45 and 4,637.71 is: 6,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.60 : 9,873.45 = 4,637.71 : x
  2. Step 2: Convert to fraction form
    6,589.60/9,873.45 = 4,637.71/x
  3. Step 3: Cross multiply
    6,589.60x = 9,873.45 × 4,637.71
  4. Step 4: Simplify right side
    6,589.60x = 45,790,197.80
  5. Step 5: Solve for x
    x = 45,790,197.80/6,589.60
  6. Step 6: Final answer
    x = 6,948.86

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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.