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Finding the Fourth Proportional to 9,512.81, 13,123.28 and 6,156.71

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Solution

The fourth proportional to 9,512.81, 13,123.28 and 6,156.71 is: 8,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.81 : 13,123.28 = 6,156.71 : x
  2. Step 2: Convert to fraction form
    9,512.81/13,123.28 = 6,156.71/x
  3. Step 3: Cross multiply
    9,512.81x = 13,123.28 × 6,156.71
  4. Step 4: Simplify right side
    9,512.81x = 80,796,228.20
  5. Step 5: Solve for x
    x = 80,796,228.20/9,512.81
  6. Step 6: Final answer
    x = 8,493.41

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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.