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Finding the Fourth Proportional to 9,974.22, 14,843.58 and 9,642.01

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Solution

The fourth proportional to 9,974.22, 14,843.58 and 9,642.01 is: 14,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.22 : 14,843.58 = 9,642.01 : x
  2. Step 2: Convert to fraction form
    9,974.22/14,843.58 = 9,642.01/x
  3. Step 3: Cross multiply
    9,974.22x = 14,843.58 × 9,642.01
  4. Step 4: Simplify right side
    9,974.22x = 143,121,946.80
  5. Step 5: Solve for x
    x = 143,121,946.80/9,974.22
  6. Step 6: Final answer
    x = 14,349.19

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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.