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Finding the Fourth Proportional to 9,006.53, 12,427.76 and 5,026.87

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Solution

The fourth proportional to 9,006.53, 12,427.76 and 5,026.87 is: 6,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.53 : 12,427.76 = 5,026.87 : x
  2. Step 2: Convert to fraction form
    9,006.53/12,427.76 = 5,026.87/x
  3. Step 3: Cross multiply
    9,006.53x = 12,427.76 × 5,026.87
  4. Step 4: Simplify right side
    9,006.53x = 62,472,733.91
  5. Step 5: Solve for x
    x = 62,472,733.91/9,006.53
  6. Step 6: Final answer
    x = 6,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.