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Finding the Fourth Proportional to 7,117.72, 9,823.43 and 3,974.11

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Solution

The fourth proportional to 7,117.72, 9,823.43 and 3,974.11 is: 5,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.72 : 9,823.43 = 3,974.11 : x
  2. Step 2: Convert to fraction form
    7,117.72/9,823.43 = 3,974.11/x
  3. Step 3: Cross multiply
    7,117.72x = 9,823.43 × 3,974.11
  4. Step 4: Simplify right side
    7,117.72x = 39,039,391.40
  5. Step 5: Solve for x
    x = 39,039,391.40/7,117.72
  6. Step 6: Final answer
    x = 5,484.82

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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.