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Finding the Fourth Proportional to 9,469.30, 14,203.88 and 2,895.46

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Solution

The fourth proportional to 9,469.30, 14,203.88 and 2,895.46 is: 4,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.30 : 14,203.88 = 2,895.46 : x
  2. Step 2: Convert to fraction form
    9,469.30/14,203.88 = 2,895.46/x
  3. Step 3: Cross multiply
    9,469.30x = 14,203.88 × 2,895.46
  4. Step 4: Simplify right side
    9,469.30x = 41,126,766.38
  5. Step 5: Solve for x
    x = 41,126,766.38/9,469.30
  6. Step 6: Final answer
    x = 4,343.17

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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.