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Finding the Fourth Proportional to 7,117.87, 9,821.75 and 3,974.19

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Solution

The fourth proportional to 7,117.87, 9,821.75 and 3,974.19 is: 5,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.87 : 9,821.75 = 3,974.19 : x
  2. Step 2: Convert to fraction form
    7,117.87/9,821.75 = 3,974.19/x
  3. Step 3: Cross multiply
    7,117.87x = 9,821.75 × 3,974.19
  4. Step 4: Simplify right side
    7,117.87x = 39,033,480.76
  5. Step 5: Solve for x
    x = 39,033,480.76/7,117.87
  6. Step 6: Final answer
    x = 5,483.87

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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.