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Finding the Fourth Proportional to 7,109.16, 9,810.70 and 3,965.54

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Solution

The fourth proportional to 7,109.16, 9,810.70 and 3,965.54 is: 5,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.16 : 9,810.70 = 3,965.54 : x
  2. Step 2: Convert to fraction form
    7,109.16/9,810.70 = 3,965.54/x
  3. Step 3: Cross multiply
    7,109.16x = 9,810.70 × 3,965.54
  4. Step 4: Simplify right side
    7,109.16x = 38,904,723.28
  5. Step 5: Solve for x
    x = 38,904,723.28/7,109.16
  6. Step 6: Final answer
    x = 5,472.48

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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.