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Finding the Fourth Proportional to 7,077.92, 9,767.65 and 3,891.35

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Solution

The fourth proportional to 7,077.92, 9,767.65 and 3,891.35 is: 5,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.92 : 9,767.65 = 3,891.35 : x
  2. Step 2: Convert to fraction form
    7,077.92/9,767.65 = 3,891.35/x
  3. Step 3: Cross multiply
    7,077.92x = 9,767.65 × 3,891.35
  4. Step 4: Simplify right side
    7,077.92x = 38,009,366.81
  5. Step 5: Solve for x
    x = 38,009,366.81/7,077.92
  6. Step 6: Final answer
    x = 5,370.13

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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.