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Finding the Fourth Proportional to 9,013.68, 13,523.76 and 4,333.50

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Solution

The fourth proportional to 9,013.68, 13,523.76 and 4,333.50 is: 6,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.68 : 13,523.76 = 4,333.50 : x
  2. Step 2: Convert to fraction form
    9,013.68/13,523.76 = 4,333.50/x
  3. Step 3: Cross multiply
    9,013.68x = 13,523.76 × 4,333.50
  4. Step 4: Simplify right side
    9,013.68x = 58,605,213.96
  5. Step 5: Solve for x
    x = 58,605,213.96/9,013.68
  6. Step 6: Final answer
    x = 6,501.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.