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Finding the Fourth Proportional to 6,498.77, 9,747.07 and 2,337.93

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Solution

The fourth proportional to 6,498.77, 9,747.07 and 2,337.93 is: 3,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.77 : 9,747.07 = 2,337.93 : x
  2. Step 2: Convert to fraction form
    6,498.77/9,747.07 = 2,337.93/x
  3. Step 3: Cross multiply
    6,498.77x = 9,747.07 × 2,337.93
  4. Step 4: Simplify right side
    6,498.77x = 22,787,961.52
  5. Step 5: Solve for x
    x = 22,787,961.52/6,498.77
  6. Step 6: Final answer
    x = 3,506.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.