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Finding the Fourth Proportional to 6,283.16, 9,468.87 and 5,659.24

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Solution

The fourth proportional to 6,283.16, 9,468.87 and 5,659.24 is: 8,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.16 : 9,468.87 = 5,659.24 : x
  2. Step 2: Convert to fraction form
    6,283.16/9,468.87 = 5,659.24/x
  3. Step 3: Cross multiply
    6,283.16x = 9,468.87 × 5,659.24
  4. Step 4: Simplify right side
    6,283.16x = 53,586,658.67
  5. Step 5: Solve for x
    x = 53,586,658.67/6,283.16
  6. Step 6: Final answer
    x = 8,528.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.