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Finding the Fourth Proportional to 6,886.21, 9,502.94 and 4,053.56

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Solution

The fourth proportional to 6,886.21, 9,502.94 and 4,053.56 is: 5,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.21 : 9,502.94 = 4,053.56 : x
  2. Step 2: Convert to fraction form
    6,886.21/9,502.94 = 4,053.56/x
  3. Step 3: Cross multiply
    6,886.21x = 9,502.94 × 4,053.56
  4. Step 4: Simplify right side
    6,886.21x = 38,520,737.47
  5. Step 5: Solve for x
    x = 38,520,737.47/6,886.21
  6. Step 6: Final answer
    x = 5,593.90

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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.