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Finding the Fourth Proportional to 6,470.40, 9,706.56 and 2,087.04

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Solution

The fourth proportional to 6,470.40, 9,706.56 and 2,087.04 is: 3,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.40 : 9,706.56 = 2,087.04 : x
  2. Step 2: Convert to fraction form
    6,470.40/9,706.56 = 2,087.04/x
  3. Step 3: Cross multiply
    6,470.40x = 9,706.56 × 2,087.04
  4. Step 4: Simplify right side
    6,470.40x = 20,257,978.98
  5. Step 5: Solve for x
    x = 20,257,978.98/6,470.40
  6. Step 6: Final answer
    x = 3,130.87

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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.