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Finding the Fourth Proportional to 9,469.74, 14,112.28 and 9,184.70

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Solution

The fourth proportional to 9,469.74, 14,112.28 and 9,184.70 is: 13,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.74 : 14,112.28 = 9,184.70 : x
  2. Step 2: Convert to fraction form
    9,469.74/14,112.28 = 9,184.70/x
  3. Step 3: Cross multiply
    9,469.74x = 14,112.28 × 9,184.70
  4. Step 4: Simplify right side
    9,469.74x = 129,617,058.12
  5. Step 5: Solve for x
    x = 129,617,058.12/9,469.74
  6. Step 6: Final answer
    x = 13,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.