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Finding the Fourth Proportional to 7,118.14, 9,822.98 and 3,931.48

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Solution

The fourth proportional to 7,118.14, 9,822.98 and 3,931.48 is: 5,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.14 : 9,822.98 = 3,931.48 : x
  2. Step 2: Convert to fraction form
    7,118.14/9,822.98 = 3,931.48/x
  3. Step 3: Cross multiply
    7,118.14x = 9,822.98 × 3,931.48
  4. Step 4: Simplify right side
    7,118.14x = 38,618,849.41
  5. Step 5: Solve for x
    x = 38,618,849.41/7,118.14
  6. Step 6: Final answer
    x = 5,425.41

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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.