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Finding the Fourth Proportional to 6,856.01, 9,461.29 and 3,712.20

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Solution

The fourth proportional to 6,856.01, 9,461.29 and 3,712.20 is: 5,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.01 : 9,461.29 = 3,712.20 : x
  2. Step 2: Convert to fraction form
    6,856.01/9,461.29 = 3,712.20/x
  3. Step 3: Cross multiply
    6,856.01x = 9,461.29 × 3,712.20
  4. Step 4: Simplify right side
    6,856.01x = 35,122,200.74
  5. Step 5: Solve for x
    x = 35,122,200.74/6,856.01
  6. Step 6: Final answer
    x = 5,122.83

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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.