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Finding the Fourth Proportional to 9,266.94, 13,902.39 and 5,319.99

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Solution

The fourth proportional to 9,266.94, 13,902.39 and 5,319.99 is: 7,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.94 : 13,902.39 = 5,319.99 : x
  2. Step 2: Convert to fraction form
    9,266.94/13,902.39 = 5,319.99/x
  3. Step 3: Cross multiply
    9,266.94x = 13,902.39 × 5,319.99
  4. Step 4: Simplify right side
    9,266.94x = 73,960,575.78
  5. Step 5: Solve for x
    x = 73,960,575.78/9,266.94
  6. Step 6: Final answer
    x = 7,981.12

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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.