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Finding the Fourth Proportional to 6,523.79, 9,003.76 and 4,292.14

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Solution

The fourth proportional to 6,523.79, 9,003.76 and 4,292.14 is: 5,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.79 : 9,003.76 = 4,292.14 : x
  2. Step 2: Convert to fraction form
    6,523.79/9,003.76 = 4,292.14/x
  3. Step 3: Cross multiply
    6,523.79x = 9,003.76 × 4,292.14
  4. Step 4: Simplify right side
    6,523.79x = 38,645,382.09
  5. Step 5: Solve for x
    x = 38,645,382.09/6,523.79
  6. Step 6: Final answer
    x = 5,923.76

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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.