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Finding the Fourth Proportional to 6,229.41, 9,345.63 and 1,787.16

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Solution

The fourth proportional to 6,229.41, 9,345.63 and 1,787.16 is: 2,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.41 : 9,345.63 = 1,787.16 : x
  2. Step 2: Convert to fraction form
    6,229.41/9,345.63 = 1,787.16/x
  3. Step 3: Cross multiply
    6,229.41x = 9,345.63 × 1,787.16
  4. Step 4: Simplify right side
    6,229.41x = 16,702,136.11
  5. Step 5: Solve for x
    x = 16,702,136.11/6,229.41
  6. Step 6: Final answer
    x = 2,681.17

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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.