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Finding the Fourth Proportional to 7,071.20, 9,737.52 and 6,479.84

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Solution

The fourth proportional to 7,071.20, 9,737.52 and 6,479.84 is: 8,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.20 : 9,737.52 = 6,479.84 : x
  2. Step 2: Convert to fraction form
    7,071.20/9,737.52 = 6,479.84/x
  3. Step 3: Cross multiply
    7,071.20x = 9,737.52 × 6,479.84
  4. Step 4: Simplify right side
    7,071.20x = 63,097,571.60
  5. Step 5: Solve for x
    x = 63,097,571.60/7,071.20
  6. Step 6: Final answer
    x = 8,923.18

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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.