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Finding the Fourth Proportional to 7,220.09, 9,963 and 4,033.13

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Solution

The fourth proportional to 7,220.09, 9,963 and 4,033.13 is: 5,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.09 : 9,963 = 4,033.13 : x
  2. Step 2: Convert to fraction form
    7,220.09/9,963 = 4,033.13/x
  3. Step 3: Cross multiply
    7,220.09x = 9,963 × 4,033.13
  4. Step 4: Simplify right side
    7,220.09x = 40,182,074.19
  5. Step 5: Solve for x
    x = 40,182,074.19/7,220.09
  6. Step 6: Final answer
    x = 5,565.31

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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.