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Finding the Fourth Proportional to 9,675.20, 14,499.30 and 7,704.20

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Solution

The fourth proportional to 9,675.20, 14,499.30 and 7,704.20 is: 11,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.20 : 14,499.30 = 7,704.20 : x
  2. Step 2: Convert to fraction form
    9,675.20/14,499.30 = 7,704.20/x
  3. Step 3: Cross multiply
    9,675.20x = 14,499.30 × 7,704.20
  4. Step 4: Simplify right side
    9,675.20x = 111,705,507.06
  5. Step 5: Solve for x
    x = 111,705,507.06/9,675.20
  6. Step 6: Final answer
    x = 11,545.55

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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.