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Finding the Fourth Proportional to 7,070.97, 9,758.21 and 3,884.40

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Solution

The fourth proportional to 7,070.97, 9,758.21 and 3,884.40 is: 5,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.97 : 9,758.21 = 3,884.40 : x
  2. Step 2: Convert to fraction form
    7,070.97/9,758.21 = 3,884.40/x
  3. Step 3: Cross multiply
    7,070.97x = 9,758.21 × 3,884.40
  4. Step 4: Simplify right side
    7,070.97x = 37,904,790.92
  5. Step 5: Solve for x
    x = 37,904,790.92/7,070.97
  6. Step 6: Final answer
    x = 5,360.62

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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.