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Finding the Fourth Proportional to 7,029.20, 9,701.16 and 4,197.20

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Solution

The fourth proportional to 7,029.20, 9,701.16 and 4,197.20 is: 5,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.20 : 9,701.16 = 4,197.20 : x
  2. Step 2: Convert to fraction form
    7,029.20/9,701.16 = 4,197.20/x
  3. Step 3: Cross multiply
    7,029.20x = 9,701.16 × 4,197.20
  4. Step 4: Simplify right side
    7,029.20x = 40,717,708.75
  5. Step 5: Solve for x
    x = 40,717,708.75/7,029.20
  6. Step 6: Final answer
    x = 5,792.65

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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.