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Finding the Fourth Proportional to 9,388.80, 14,099.40 and 9,097.20

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Solution

The fourth proportional to 9,388.80, 14,099.40 and 9,097.20 is: 13,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.80 : 14,099.40 = 9,097.20 : x
  2. Step 2: Convert to fraction form
    9,388.80/14,099.40 = 9,097.20/x
  3. Step 3: Cross multiply
    9,388.80x = 14,099.40 × 9,097.20
  4. Step 4: Simplify right side
    9,388.80x = 128,265,061.68
  5. Step 5: Solve for x
    x = 128,265,061.68/9,388.80
  6. Step 6: Final answer
    x = 13,661.50

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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.