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Finding the Fourth Proportional to 9,234, 13,850.87 and 4,300.88

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Solution

The fourth proportional to 9,234, 13,850.87 and 4,300.88 is: 6,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 13,850.87 = 4,300.88 : x
  2. Step 2: Convert to fraction form
    9,234/13,850.87 = 4,300.88/x
  3. Step 3: Cross multiply
    9,234x = 13,850.87 × 4,300.88
  4. Step 4: Simplify right side
    9,234x = 59,570,839.01
  5. Step 5: Solve for x
    x = 59,570,839.01/9,234
  6. Step 6: Final answer
    x = 6,451.25

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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.