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Finding the Fourth Proportional to 9,117.20, 13,675.79 and 2,961.20

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Solution

The fourth proportional to 9,117.20, 13,675.79 and 2,961.20 is: 4,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.20 : 13,675.79 = 2,961.20 : x
  2. Step 2: Convert to fraction form
    9,117.20/13,675.79 = 2,961.20/x
  3. Step 3: Cross multiply
    9,117.20x = 13,675.79 × 2,961.20
  4. Step 4: Simplify right side
    9,117.20x = 40,496,666.16
  5. Step 5: Solve for x
    x = 40,496,666.16/9,117.20
  6. Step 6: Final answer
    x = 4,441.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.