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Finding the Fourth Proportional to 7,107.35, 9,807.70 and 3,920.69

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Solution

The fourth proportional to 7,107.35, 9,807.70 and 3,920.69 is: 5,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.35 : 9,807.70 = 3,920.69 : x
  2. Step 2: Convert to fraction form
    7,107.35/9,807.70 = 3,920.69/x
  3. Step 3: Cross multiply
    7,107.35x = 9,807.70 × 3,920.69
  4. Step 4: Simplify right side
    7,107.35x = 38,452,912.08
  5. Step 5: Solve for x
    x = 38,452,912.08/7,107.35
  6. Step 6: Final answer
    x = 5,410.30

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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.