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Finding the Fourth Proportional to 6,568.80, 9,864.94 and 6,304.54

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Solution

The fourth proportional to 6,568.80, 9,864.94 and 6,304.54 is: 9,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.80 : 9,864.94 = 6,304.54 : x
  2. Step 2: Convert to fraction form
    6,568.80/9,864.94 = 6,304.54/x
  3. Step 3: Cross multiply
    6,568.80x = 9,864.94 × 6,304.54
  4. Step 4: Simplify right side
    6,568.80x = 62,193,908.83
  5. Step 5: Solve for x
    x = 62,193,908.83/6,568.80
  6. Step 6: Final answer
    x = 9,468.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.