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Finding the Fourth Proportional to 7,117.74, 9,822.33 and 3,931.27

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Solution

The fourth proportional to 7,117.74, 9,822.33 and 3,931.27 is: 5,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.74 : 9,822.33 = 3,931.27 : x
  2. Step 2: Convert to fraction form
    7,117.74/9,822.33 = 3,931.27/x
  3. Step 3: Cross multiply
    7,117.74x = 9,822.33 × 3,931.27
  4. Step 4: Simplify right side
    7,117.74x = 38,614,206.70
  5. Step 5: Solve for x
    x = 38,614,206.70/7,117.74
  6. Step 6: Final answer
    x = 5,425.07

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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.