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Finding the Fourth Proportional to 9,393.75, 14,091.69 and 3,154.20

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Solution

The fourth proportional to 9,393.75, 14,091.69 and 3,154.20 is: 4,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.75 : 14,091.69 = 3,154.20 : x
  2. Step 2: Convert to fraction form
    9,393.75/14,091.69 = 3,154.20/x
  3. Step 3: Cross multiply
    9,393.75x = 14,091.69 × 3,154.20
  4. Step 4: Simplify right side
    9,393.75x = 44,448,008.60
  5. Step 5: Solve for x
    x = 44,448,008.60/9,393.75
  6. Step 6: Final answer
    x = 4,731.66

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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.