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Finding the Fourth Proportional to 9,974.80, 13,764.63 and 5,498.74

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Solution

The fourth proportional to 9,974.80, 13,764.63 and 5,498.74 is: 7,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.80 : 13,764.63 = 5,498.74 : x
  2. Step 2: Convert to fraction form
    9,974.80/13,764.63 = 5,498.74/x
  3. Step 3: Cross multiply
    9,974.80x = 13,764.63 × 5,498.74
  4. Step 4: Simplify right side
    9,974.80x = 75,688,121.57
  5. Step 5: Solve for x
    x = 75,688,121.57/9,974.80
  6. Step 6: Final answer
    x = 7,587.93

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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.