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Finding the Fourth Proportional to 6,016.38, 8,973.29 and 5,639.61

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Solution

The fourth proportional to 6,016.38, 8,973.29 and 5,639.61 is: 8,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.38 : 8,973.29 = 5,639.61 : x
  2. Step 2: Convert to fraction form
    6,016.38/8,973.29 = 5,639.61/x
  3. Step 3: Cross multiply
    6,016.38x = 8,973.29 × 5,639.61
  4. Step 4: Simplify right side
    6,016.38x = 50,605,827.82
  5. Step 5: Solve for x
    x = 50,605,827.82/6,016.38
  6. Step 6: Final answer
    x = 8,411.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.