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Finding the Fourth Proportional to 7,002.12, 9,662.70 and 4,017.91

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Solution

The fourth proportional to 7,002.12, 9,662.70 and 4,017.91 is: 5,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.12 : 9,662.70 = 4,017.91 : x
  2. Step 2: Convert to fraction form
    7,002.12/9,662.70 = 4,017.91/x
  3. Step 3: Cross multiply
    7,002.12x = 9,662.70 × 4,017.91
  4. Step 4: Simplify right side
    7,002.12x = 38,823,834.80
  5. Step 5: Solve for x
    x = 38,823,834.80/7,002.12
  6. Step 6: Final answer
    x = 5,544.58

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