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Finding the Fourth Proportional to 9,199.53, 13,793.67 and 4,513.59

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Solution

The fourth proportional to 9,199.53, 13,793.67 and 4,513.59 is: 6,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.53 : 13,793.67 = 4,513.59 : x
  2. Step 2: Convert to fraction form
    9,199.53/13,793.67 = 4,513.59/x
  3. Step 3: Cross multiply
    9,199.53x = 13,793.67 × 4,513.59
  4. Step 4: Simplify right side
    9,199.53x = 62,258,970.98
  5. Step 5: Solve for x
    x = 62,258,970.98/9,199.53
  6. Step 6: Final answer
    x = 6,767.63

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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.