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Finding the Fourth Proportional to 6,870.62, 9,480.42 and 4,037.78

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Solution

The fourth proportional to 6,870.62, 9,480.42 and 4,037.78 is: 5,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.62 : 9,480.42 = 4,037.78 : x
  2. Step 2: Convert to fraction form
    6,870.62/9,480.42 = 4,037.78/x
  3. Step 3: Cross multiply
    6,870.62x = 9,480.42 × 4,037.78
  4. Step 4: Simplify right side
    6,870.62x = 38,279,802.87
  5. Step 5: Solve for x
    x = 38,279,802.87/6,870.62
  6. Step 6: Final answer
    x = 5,571.52

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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.