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Finding the Fourth Proportional to 6,585.41, 9,878.14 and 2,423.62

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Solution

The fourth proportional to 6,585.41, 9,878.14 and 2,423.62 is: 3,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.41 : 9,878.14 = 2,423.62 : x
  2. Step 2: Convert to fraction form
    6,585.41/9,878.14 = 2,423.62/x
  3. Step 3: Cross multiply
    6,585.41x = 9,878.14 × 2,423.62
  4. Step 4: Simplify right side
    6,585.41x = 23,940,869.64
  5. Step 5: Solve for x
    x = 23,940,869.64/6,585.41
  6. Step 6: Final answer
    x = 3,635.44

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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.