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Finding the Fourth Proportional to 6,780.77, 9,358.91 and 4,129.02

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Solution

The fourth proportional to 6,780.77, 9,358.91 and 4,129.02 is: 5,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.77 : 9,358.91 = 4,129.02 : x
  2. Step 2: Convert to fraction form
    6,780.77/9,358.91 = 4,129.02/x
  3. Step 3: Cross multiply
    6,780.77x = 9,358.91 × 4,129.02
  4. Step 4: Simplify right side
    6,780.77x = 38,643,105.92
  5. Step 5: Solve for x
    x = 38,643,105.92/6,780.77
  6. Step 6: Final answer
    x = 5,698.93

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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.