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Finding the Fourth Proportional to 6,862.02, 9,446.02 and 5,180.76

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Solution

The fourth proportional to 6,862.02, 9,446.02 and 5,180.76 is: 7,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.02 : 9,446.02 = 5,180.76 : x
  2. Step 2: Convert to fraction form
    6,862.02/9,446.02 = 5,180.76/x
  3. Step 3: Cross multiply
    6,862.02x = 9,446.02 × 5,180.76
  4. Step 4: Simplify right side
    6,862.02x = 48,937,549.62
  5. Step 5: Solve for x
    x = 48,937,549.62/6,862.02
  6. Step 6: Final answer
    x = 7,131.66

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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.