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Finding the Fourth Proportional to 6,624.16, 9,140.97 and 3,970.24

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Solution

The fourth proportional to 6,624.16, 9,140.97 and 3,970.24 is: 5,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.16 : 9,140.97 = 3,970.24 : x
  2. Step 2: Convert to fraction form
    6,624.16/9,140.97 = 3,970.24/x
  3. Step 3: Cross multiply
    6,624.16x = 9,140.97 × 3,970.24
  4. Step 4: Simplify right side
    6,624.16x = 36,291,844.73
  5. Step 5: Solve for x
    x = 36,291,844.73/6,624.16
  6. Step 6: Final answer
    x = 5,478.71

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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.