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Finding the Fourth Proportional to 7,204.74, 9,941.62 and 4,017.25

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Solution

The fourth proportional to 7,204.74, 9,941.62 and 4,017.25 is: 5,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.74 : 9,941.62 = 4,017.25 : x
  2. Step 2: Convert to fraction form
    7,204.74/9,941.62 = 4,017.25/x
  3. Step 3: Cross multiply
    7,204.74x = 9,941.62 × 4,017.25
  4. Step 4: Simplify right side
    7,204.74x = 39,937,972.95
  5. Step 5: Solve for x
    x = 39,937,972.95/7,204.74
  6. Step 6: Final answer
    x = 5,543.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.