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Finding the Fourth Proportional to 7,012.98, 9,678.24 and 4,028.76

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Solution

The fourth proportional to 7,012.98, 9,678.24 and 4,028.76 is: 5,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.98 : 9,678.24 = 4,028.76 : x
  2. Step 2: Convert to fraction form
    7,012.98/9,678.24 = 4,028.76/x
  3. Step 3: Cross multiply
    7,012.98x = 9,678.24 × 4,028.76
  4. Step 4: Simplify right side
    7,012.98x = 38,991,306.18
  5. Step 5: Solve for x
    x = 38,991,306.18/7,012.98
  6. Step 6: Final answer
    x = 5,559.88

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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.