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Finding the Fourth Proportional to 6,426.30, 9,651.81 and 5,702.16

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Solution

The fourth proportional to 6,426.30, 9,651.81 and 5,702.16 is: 8,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.30 : 9,651.81 = 5,702.16 : x
  2. Step 2: Convert to fraction form
    6,426.30/9,651.81 = 5,702.16/x
  3. Step 3: Cross multiply
    6,426.30x = 9,651.81 × 5,702.16
  4. Step 4: Simplify right side
    6,426.30x = 55,036,164.91
  5. Step 5: Solve for x
    x = 55,036,164.91/6,426.30
  6. Step 6: Final answer
    x = 8,564.21

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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.