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Finding the Fourth Proportional to 7,122.04, 9,828.04 and 3,977.60

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Solution

The fourth proportional to 7,122.04, 9,828.04 and 3,977.60 is: 5,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.04 : 9,828.04 = 3,977.60 : x
  2. Step 2: Convert to fraction form
    7,122.04/9,828.04 = 3,977.60/x
  3. Step 3: Cross multiply
    7,122.04x = 9,828.04 × 3,977.60
  4. Step 4: Simplify right side
    7,122.04x = 39,092,011.90
  5. Step 5: Solve for x
    x = 39,092,011.90/7,122.04
  6. Step 6: Final answer
    x = 5,488.88

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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.