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Finding the Fourth Proportional to 7,002.72, 9,671.40 and 6,568.56

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Solution

The fourth proportional to 7,002.72, 9,671.40 and 6,568.56 is: 9,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.72 : 9,671.40 = 6,568.56 : x
  2. Step 2: Convert to fraction form
    7,002.72/9,671.40 = 6,568.56/x
  3. Step 3: Cross multiply
    7,002.72x = 9,671.40 × 6,568.56
  4. Step 4: Simplify right side
    7,002.72x = 63,527,171.18
  5. Step 5: Solve for x
    x = 63,527,171.18/7,002.72
  6. Step 6: Final answer
    x = 9,071.79

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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.