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Finding the Fourth Proportional to 6,864.64, 9,471.96 and 4,070.80

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Solution

The fourth proportional to 6,864.64, 9,471.96 and 4,070.80 is: 5,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.64 : 9,471.96 = 4,070.80 : x
  2. Step 2: Convert to fraction form
    6,864.64/9,471.96 = 4,070.80/x
  3. Step 3: Cross multiply
    6,864.64x = 9,471.96 × 4,070.80
  4. Step 4: Simplify right side
    6,864.64x = 38,558,454.77
  5. Step 5: Solve for x
    x = 38,558,454.77/6,864.64
  6. Step 6: Final answer
    x = 5,616.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.