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Finding the Fourth Proportional to 9,603.81, 14,397.19 and 5,163.85

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Solution

The fourth proportional to 9,603.81, 14,397.19 and 5,163.85 is: 7,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.81 : 14,397.19 = 5,163.85 : x
  2. Step 2: Convert to fraction form
    9,603.81/14,397.19 = 5,163.85/x
  3. Step 3: Cross multiply
    9,603.81x = 14,397.19 × 5,163.85
  4. Step 4: Simplify right side
    9,603.81x = 74,344,934.67
  5. Step 5: Solve for x
    x = 74,344,934.67/9,603.81
  6. Step 6: Final answer
    x = 7,741.19

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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.