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Finding the Fourth Proportional to 6,535.28, 9,803.45 and 3,920.65

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Solution

The fourth proportional to 6,535.28, 9,803.45 and 3,920.65 is: 5,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.28 : 9,803.45 = 3,920.65 : x
  2. Step 2: Convert to fraction form
    6,535.28/9,803.45 = 3,920.65/x
  3. Step 3: Cross multiply
    6,535.28x = 9,803.45 × 3,920.65
  4. Step 4: Simplify right side
    6,535.28x = 38,435,852.13
  5. Step 5: Solve for x
    x = 38,435,852.13/6,535.28
  6. Step 6: Final answer
    x = 5,881.29

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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.