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Finding the Fourth Proportional to 9,302.04, 12,834.50 and 5,523.62

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Solution

The fourth proportional to 9,302.04, 12,834.50 and 5,523.62 is: 7,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.04 : 12,834.50 = 5,523.62 : x
  2. Step 2: Convert to fraction form
    9,302.04/12,834.50 = 5,523.62/x
  3. Step 3: Cross multiply
    9,302.04x = 12,834.50 × 5,523.62
  4. Step 4: Simplify right side
    9,302.04x = 70,892,876.27
  5. Step 5: Solve for x
    x = 70,892,876.27/9,302.04
  6. Step 6: Final answer
    x = 7,621.22

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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.