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Finding the Fourth Proportional to 9,966.30, 14,919.93 and 7,380.78

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Solution

The fourth proportional to 9,966.30, 14,919.93 and 7,380.78 is: 11,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.30 : 14,919.93 = 7,380.78 : x
  2. Step 2: Convert to fraction form
    9,966.30/14,919.93 = 7,380.78/x
  3. Step 3: Cross multiply
    9,966.30x = 14,919.93 × 7,380.78
  4. Step 4: Simplify right side
    9,966.30x = 110,120,720.95
  5. Step 5: Solve for x
    x = 110,120,720.95/9,966.30
  6. Step 6: Final answer
    x = 11,049.31

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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.