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Finding the Fourth Proportional to 9,493.41, 14,240.49 and 3,569.70

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Solution

The fourth proportional to 9,493.41, 14,240.49 and 3,569.70 is: 5,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.41 : 14,240.49 = 3,569.70 : x
  2. Step 2: Convert to fraction form
    9,493.41/14,240.49 = 3,569.70/x
  3. Step 3: Cross multiply
    9,493.41x = 14,240.49 × 3,569.70
  4. Step 4: Simplify right side
    9,493.41x = 50,834,277.15
  5. Step 5: Solve for x
    x = 50,834,277.15/9,493.41
  6. Step 6: Final answer
    x = 5,354.69

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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.