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Finding the Fourth Proportional to 6,472.10, 9,706.07 and 2,088.54

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Solution

The fourth proportional to 6,472.10, 9,706.07 and 2,088.54 is: 3,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.10 : 9,706.07 = 2,088.54 : x
  2. Step 2: Convert to fraction form
    6,472.10/9,706.07 = 2,088.54/x
  3. Step 3: Cross multiply
    6,472.10x = 9,706.07 × 2,088.54
  4. Step 4: Simplify right side
    6,472.10x = 20,271,520.66
  5. Step 5: Solve for x
    x = 20,271,520.66/6,472.10
  6. Step 6: Final answer
    x = 3,132.14

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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.