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Finding the Fourth Proportional to 9,974.85, 13,765.29 and 5,498.68

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Solution

The fourth proportional to 9,974.85, 13,765.29 and 5,498.68 is: 7,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.85 : 13,765.29 = 5,498.68 : x
  2. Step 2: Convert to fraction form
    9,974.85/13,765.29 = 5,498.68/x
  3. Step 3: Cross multiply
    9,974.85x = 13,765.29 × 5,498.68
  4. Step 4: Simplify right side
    9,974.85x = 75,690,828.50
  5. Step 5: Solve for x
    x = 75,690,828.50/9,974.85
  6. Step 6: Final answer
    x = 7,588.17

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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.