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Finding the Fourth Proportional to 6,864.31, 9,472.35 and 3,880.77

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Solution

The fourth proportional to 6,864.31, 9,472.35 and 3,880.77 is: 5,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.31 : 9,472.35 = 3,880.77 : x
  2. Step 2: Convert to fraction form
    6,864.31/9,472.35 = 3,880.77/x
  3. Step 3: Cross multiply
    6,864.31x = 9,472.35 × 3,880.77
  4. Step 4: Simplify right side
    6,864.31x = 36,760,011.71
  5. Step 5: Solve for x
    x = 36,760,011.71/6,864.31
  6. Step 6: Final answer
    x = 5,355.24

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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.