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Finding the Fourth Proportional to 9,113.50, 12,578.98 and 5,934.73

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Solution

The fourth proportional to 9,113.50, 12,578.98 and 5,934.73 is: 8,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.50 : 12,578.98 = 5,934.73 : x
  2. Step 2: Convert to fraction form
    9,113.50/12,578.98 = 5,934.73/x
  3. Step 3: Cross multiply
    9,113.50x = 12,578.98 × 5,934.73
  4. Step 4: Simplify right side
    9,113.50x = 74,652,849.98
  5. Step 5: Solve for x
    x = 74,652,849.98/9,113.50
  6. Step 6: Final answer
    x = 8,191.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.