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Finding the Fourth Proportional to 7,070.40, 9,757.43 and 3,883.97

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Solution

The fourth proportional to 7,070.40, 9,757.43 and 3,883.97 is: 5,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.40 : 9,757.43 = 3,883.97 : x
  2. Step 2: Convert to fraction form
    7,070.40/9,757.43 = 3,883.97/x
  3. Step 3: Cross multiply
    7,070.40x = 9,757.43 × 3,883.97
  4. Step 4: Simplify right side
    7,070.40x = 37,897,497.19
  5. Step 5: Solve for x
    x = 37,897,497.19/7,070.40
  6. Step 6: Final answer
    x = 5,360.02

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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.