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Finding the Fourth Proportional to 7,109.07, 9,810.72 and 3,965.46

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Solution

The fourth proportional to 7,109.07, 9,810.72 and 3,965.46 is: 5,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.07 : 9,810.72 = 3,965.46 : x
  2. Step 2: Convert to fraction form
    7,109.07/9,810.72 = 3,965.46/x
  3. Step 3: Cross multiply
    7,109.07x = 9,810.72 × 3,965.46
  4. Step 4: Simplify right side
    7,109.07x = 38,904,017.73
  5. Step 5: Solve for x
    x = 38,904,017.73/7,109.07
  6. Step 6: Final answer
    x = 5,472.45

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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.