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Finding the Fourth Proportional to 6,472.32, 9,706.72 and 2,088.80

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Solution

The fourth proportional to 6,472.32, 9,706.72 and 2,088.80 is: 3,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.32 : 9,706.72 = 2,088.80 : x
  2. Step 2: Convert to fraction form
    6,472.32/9,706.72 = 2,088.80/x
  3. Step 3: Cross multiply
    6,472.32x = 9,706.72 × 2,088.80
  4. Step 4: Simplify right side
    6,472.32x = 20,275,396.74
  5. Step 5: Solve for x
    x = 20,275,396.74/6,472.32
  6. Step 6: Final answer
    x = 3,132.63

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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.