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Finding the Fourth Proportional to 6,875.91, 9,471.75 and 5,864.31

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Solution

The fourth proportional to 6,875.91, 9,471.75 and 5,864.31 is: 8,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.91 : 9,471.75 = 5,864.31 : x
  2. Step 2: Convert to fraction form
    6,875.91/9,471.75 = 5,864.31/x
  3. Step 3: Cross multiply
    6,875.91x = 9,471.75 × 5,864.31
  4. Step 4: Simplify right side
    6,875.91x = 55,545,278.24
  5. Step 5: Solve for x
    x = 55,545,278.24/6,875.91
  6. Step 6: Final answer
    x = 8,078.24

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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.