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Finding the Fourth Proportional to 7,070.47, 9,757.52 and 3,883.90

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Solution

The fourth proportional to 7,070.47, 9,757.52 and 3,883.90 is: 5,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.47 : 9,757.52 = 3,883.90 : x
  2. Step 2: Convert to fraction form
    7,070.47/9,757.52 = 3,883.90/x
  3. Step 3: Cross multiply
    7,070.47x = 9,757.52 × 3,883.90
  4. Step 4: Simplify right side
    7,070.47x = 37,897,231.93
  5. Step 5: Solve for x
    x = 37,897,231.93/7,070.47
  6. Step 6: Final answer
    x = 5,359.93

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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.