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Finding the Fourth Proportional to 6,283.96, 9,428.22 and 2,585.20

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Solution

The fourth proportional to 6,283.96, 9,428.22 and 2,585.20 is: 3,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.96 : 9,428.22 = 2,585.20 : x
  2. Step 2: Convert to fraction form
    6,283.96/9,428.22 = 2,585.20/x
  3. Step 3: Cross multiply
    6,283.96x = 9,428.22 × 2,585.20
  4. Step 4: Simplify right side
    6,283.96x = 24,373,834.34
  5. Step 5: Solve for x
    x = 24,373,834.34/6,283.96
  6. Step 6: Final answer
    x = 3,878.74

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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.