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Finding the Fourth Proportional to 9,974.84, 13,765.37 and 5,498.75

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Solution

The fourth proportional to 9,974.84, 13,765.37 and 5,498.75 is: 7,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.84 : 13,765.37 = 5,498.75 : x
  2. Step 2: Convert to fraction form
    9,974.84/13,765.37 = 5,498.75/x
  3. Step 3: Cross multiply
    9,974.84x = 13,765.37 × 5,498.75
  4. Step 4: Simplify right side
    9,974.84x = 75,692,283.59
  5. Step 5: Solve for x
    x = 75,692,283.59/9,974.84
  6. Step 6: Final answer
    x = 7,588.32

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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.