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Finding the Fourth Proportional to 9,493.47, 14,240.19 and 3,645.98

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Solution

The fourth proportional to 9,493.47, 14,240.19 and 3,645.98 is: 5,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.47 : 14,240.19 = 3,645.98 : x
  2. Step 2: Convert to fraction form
    9,493.47/14,240.19 = 3,645.98/x
  3. Step 3: Cross multiply
    9,493.47x = 14,240.19 × 3,645.98
  4. Step 4: Simplify right side
    9,493.47x = 51,919,443.81
  5. Step 5: Solve for x
    x = 51,919,443.81/9,493.47
  6. Step 6: Final answer
    x = 5,468.96

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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.