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Finding the Fourth Proportional to 9,705.67, 14,544.05 and 5,019.42

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Solution

The fourth proportional to 9,705.67, 14,544.05 and 5,019.42 is: 7,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.67 : 14,544.05 = 5,019.42 : x
  2. Step 2: Convert to fraction form
    9,705.67/14,544.05 = 5,019.42/x
  3. Step 3: Cross multiply
    9,705.67x = 14,544.05 × 5,019.42
  4. Step 4: Simplify right side
    9,705.67x = 73,002,718.56
  5. Step 5: Solve for x
    x = 73,002,718.56/9,705.67
  6. Step 6: Final answer
    x = 7,521.65

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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.