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Finding the Fourth Proportional to 7,002.09, 9,662.13 and 4,017.86

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Solution

The fourth proportional to 7,002.09, 9,662.13 and 4,017.86 is: 5,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.09 : 9,662.13 = 4,017.86 : x
  2. Step 2: Convert to fraction form
    7,002.09/9,662.13 = 4,017.86/x
  3. Step 3: Cross multiply
    7,002.09x = 9,662.13 × 4,017.86
  4. Step 4: Simplify right side
    7,002.09x = 38,821,037.33
  5. Step 5: Solve for x
    x = 38,821,037.33/7,002.09
  6. Step 6: Final answer
    x = 5,544.21

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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.