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Finding the Fourth Proportional to 7,117.74, 9,823.14 and 3,974.94

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Solution

The fourth proportional to 7,117.74, 9,823.14 and 3,974.94 is: 5,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.74 : 9,823.14 = 3,974.94 : x
  2. Step 2: Convert to fraction form
    7,117.74/9,823.14 = 3,974.94/x
  3. Step 3: Cross multiply
    7,117.74x = 9,823.14 × 3,974.94
  4. Step 4: Simplify right side
    7,117.74x = 39,046,392.11
  5. Step 5: Solve for x
    x = 39,046,392.11/7,117.74
  6. Step 6: Final answer
    x = 5,485.79

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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.