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Finding the Fourth Proportional to 9,974.84, 13,765 and 5,498.56

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Solution

The fourth proportional to 9,974.84, 13,765 and 5,498.56 is: 7,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.84 : 13,765 = 5,498.56 : x
  2. Step 2: Convert to fraction form
    9,974.84/13,765 = 5,498.56/x
  3. Step 3: Cross multiply
    9,974.84x = 13,765 × 5,498.56
  4. Step 4: Simplify right side
    9,974.84x = 75,687,678.40
  5. Step 5: Solve for x
    x = 75,687,678.40/9,974.84
  6. Step 6: Final answer
    x = 7,587.86

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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.