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Finding the Fourth Proportional to 9,909.13, 13,674.71 and 5,660.75

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Solution

The fourth proportional to 9,909.13, 13,674.71 and 5,660.75 is: 7,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.13 : 13,674.71 = 5,660.75 : x
  2. Step 2: Convert to fraction form
    9,909.13/13,674.71 = 5,660.75/x
  3. Step 3: Cross multiply
    9,909.13x = 13,674.71 × 5,660.75
  4. Step 4: Simplify right side
    9,909.13x = 77,409,114.63
  5. Step 5: Solve for x
    x = 77,409,114.63/9,909.13
  6. Step 6: Final answer
    x = 7,811.90

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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.