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Finding the Fourth Proportional to 9,331.20, 14,106.15 and 9,331.20

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Solution

The fourth proportional to 9,331.20, 14,106.15 and 9,331.20 is: 14,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.20 : 14,106.15 = 9,331.20 : x
  2. Step 2: Convert to fraction form
    9,331.20/14,106.15 = 9,331.20/x
  3. Step 3: Cross multiply
    9,331.20x = 14,106.15 × 9,331.20
  4. Step 4: Simplify right side
    9,331.20x = 131,627,306.88
  5. Step 5: Solve for x
    x = 131,627,306.88/9,331.20
  6. Step 6: Final answer
    x = 14,106.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.