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Finding the Fourth Proportional to 9,337.77, 12,874.01 and 7,738.56

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Solution

The fourth proportional to 9,337.77, 12,874.01 and 7,738.56 is: 10,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.77 : 12,874.01 = 7,738.56 : x
  2. Step 2: Convert to fraction form
    9,337.77/12,874.01 = 7,738.56/x
  3. Step 3: Cross multiply
    9,337.77x = 12,874.01 × 7,738.56
  4. Step 4: Simplify right side
    9,337.77x = 99,626,260.13
  5. Step 5: Solve for x
    x = 99,626,260.13/9,337.77
  6. Step 6: Final answer
    x = 10,669.17

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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.