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Finding the Fourth Proportional to 9,750.72, 13,441.44 and 6,909.12

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Solution

The fourth proportional to 9,750.72, 13,441.44 and 6,909.12 is: 9,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.72 : 13,441.44 = 6,909.12 : x
  2. Step 2: Convert to fraction form
    9,750.72/13,441.44 = 6,909.12/x
  3. Step 3: Cross multiply
    9,750.72x = 13,441.44 × 6,909.12
  4. Step 4: Simplify right side
    9,750.72x = 92,868,521.93
  5. Step 5: Solve for x
    x = 92,868,521.93/9,750.72
  6. Step 6: Final answer
    x = 9,524.27

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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.