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Finding the Fourth Proportional to 9,974.46, 14,843.94 and 9,642.25

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Solution

The fourth proportional to 9,974.46, 14,843.94 and 9,642.25 is: 14,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.46 : 14,843.94 = 9,642.25 : x
  2. Step 2: Convert to fraction form
    9,974.46/14,843.94 = 9,642.25/x
  3. Step 3: Cross multiply
    9,974.46x = 14,843.94 × 9,642.25
  4. Step 4: Simplify right side
    9,974.46x = 143,128,980.47
  5. Step 5: Solve for x
    x = 143,128,980.47/9,974.46
  6. Step 6: Final answer
    x = 14,349.55

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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.