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Finding the Fourth Proportional to 9,006.52, 12,428.88 and 5,028.12

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Solution

The fourth proportional to 9,006.52, 12,428.88 and 5,028.12 is: 6,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.52 : 12,428.88 = 5,028.12 : x
  2. Step 2: Convert to fraction form
    9,006.52/12,428.88 = 5,028.12/x
  3. Step 3: Cross multiply
    9,006.52x = 12,428.88 × 5,028.12
  4. Step 4: Simplify right side
    9,006.52x = 62,493,900.11
  5. Step 5: Solve for x
    x = 62,493,900.11/9,006.52
  6. Step 6: Final answer
    x = 6,938.74

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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.