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Finding the Fourth Proportional to 9,006.50, 12,428.73 and 5,027.50

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Solution

The fourth proportional to 9,006.50, 12,428.73 and 5,027.50 is: 6,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.50 : 12,428.73 = 5,027.50 : x
  2. Step 2: Convert to fraction form
    9,006.50/12,428.73 = 5,027.50/x
  3. Step 3: Cross multiply
    9,006.50x = 12,428.73 × 5,027.50
  4. Step 4: Simplify right side
    9,006.50x = 62,485,440.08
  5. Step 5: Solve for x
    x = 62,485,440.08/9,006.50
  6. Step 6: Final answer
    x = 6,937.82

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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.