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Finding the Fourth Proportional to 7,197.82, 9,937.29 and 5,206.30

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Solution

The fourth proportional to 7,197.82, 9,937.29 and 5,206.30 is: 7,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.82 : 9,937.29 = 5,206.30 : x
  2. Step 2: Convert to fraction form
    7,197.82/9,937.29 = 5,206.30/x
  3. Step 3: Cross multiply
    7,197.82x = 9,937.29 × 5,206.30
  4. Step 4: Simplify right side
    7,197.82x = 51,736,512.93
  5. Step 5: Solve for x
    x = 51,736,512.93/7,197.82
  6. Step 6: Final answer
    x = 7,187.80

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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.