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Finding the Fourth Proportional to 9,213.79, 13,834.53 and 5,532.49

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Solution

The fourth proportional to 9,213.79, 13,834.53 and 5,532.49 is: 8,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.79 : 13,834.53 = 5,532.49 : x
  2. Step 2: Convert to fraction form
    9,213.79/13,834.53 = 5,532.49/x
  3. Step 3: Cross multiply
    9,213.79x = 13,834.53 × 5,532.49
  4. Step 4: Simplify right side
    9,213.79x = 76,539,398.88
  5. Step 5: Solve for x
    x = 76,539,398.88/9,213.79
  6. Step 6: Final answer
    x = 8,307.05

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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.