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Finding the Fourth Proportional to 9,396, 14,097.24 and 3,851.15

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Solution

The fourth proportional to 9,396, 14,097.24 and 3,851.15 is: 5,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 14,097.24 = 3,851.15 : x
  2. Step 2: Convert to fraction form
    9,396/14,097.24 = 3,851.15/x
  3. Step 3: Cross multiply
    9,396x = 14,097.24 × 3,851.15
  4. Step 4: Simplify right side
    9,396x = 54,290,515.34
  5. Step 5: Solve for x
    x = 54,290,515.34/9,396
  6. Step 6: Final answer
    x = 5,778.05

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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.