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Finding the Fourth Proportional to 6,868.90, 9,471.96 and 5,877.46

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Solution

The fourth proportional to 6,868.90, 9,471.96 and 5,877.46 is: 8,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.90 : 9,471.96 = 5,877.46 : x
  2. Step 2: Convert to fraction form
    6,868.90/9,471.96 = 5,877.46/x
  3. Step 3: Cross multiply
    6,868.90x = 9,471.96 × 5,877.46
  4. Step 4: Simplify right side
    6,868.90x = 55,671,066.02
  5. Step 5: Solve for x
    x = 55,671,066.02/6,868.90
  6. Step 6: Final answer
    x = 8,104.80

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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.