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Finding the Fourth Proportional to 6,856.47, 9,461.97 and 3,712.66

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Solution

The fourth proportional to 6,856.47, 9,461.97 and 3,712.66 is: 5,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.47 : 9,461.97 = 3,712.66 : x
  2. Step 2: Convert to fraction form
    6,856.47/9,461.97 = 3,712.66/x
  3. Step 3: Cross multiply
    6,856.47x = 9,461.97 × 3,712.66
  4. Step 4: Simplify right side
    6,856.47x = 35,129,077.54
  5. Step 5: Solve for x
    x = 35,129,077.54/6,856.47
  6. Step 6: Final answer
    x = 5,123.49

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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.