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Finding the Fourth Proportional to 9,943.04, 14,917.52 and 4,100

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Solution

The fourth proportional to 9,943.04, 14,917.52 and 4,100 is: 6,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.04 : 14,917.52 = 4,100 : x
  2. Step 2: Convert to fraction form
    9,943.04/14,917.52 = 4,100/x
  3. Step 3: Cross multiply
    9,943.04x = 14,917.52 × 4,100
  4. Step 4: Simplify right side
    9,943.04x = 61,161,832
  5. Step 5: Solve for x
    x = 61,161,832/9,943.04
  6. Step 6: Final answer
    x = 6,151.22

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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.