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Finding the Fourth Proportional to 7,109.88, 9,811.62 and 3,965.88

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Solution

The fourth proportional to 7,109.88, 9,811.62 and 3,965.88 is: 5,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.88 : 9,811.62 = 3,965.88 : x
  2. Step 2: Convert to fraction form
    7,109.88/9,811.62 = 3,965.88/x
  3. Step 3: Cross multiply
    7,109.88x = 9,811.62 × 3,965.88
  4. Step 4: Simplify right side
    7,109.88x = 38,911,707.53
  5. Step 5: Solve for x
    x = 38,911,707.53/7,109.88
  6. Step 6: Final answer
    x = 5,472.91

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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.