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Finding the Fourth Proportional to 7,122.74, 9,822.99 and 5,931.66

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Solution

The fourth proportional to 7,122.74, 9,822.99 and 5,931.66 is: 8,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.74 : 9,822.99 = 5,931.66 : x
  2. Step 2: Convert to fraction form
    7,122.74/9,822.99 = 5,931.66/x
  3. Step 3: Cross multiply
    7,122.74x = 9,822.99 × 5,931.66
  4. Step 4: Simplify right side
    7,122.74x = 58,266,636.86
  5. Step 5: Solve for x
    x = 58,266,636.86/7,122.74
  6. Step 6: Final answer
    x = 8,180.37

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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.