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Finding the Fourth Proportional to 7,070.82, 9,753.42 and 5,084.07

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Solution

The fourth proportional to 7,070.82, 9,753.42 and 5,084.07 is: 7,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.82 : 9,753.42 = 5,084.07 : x
  2. Step 2: Convert to fraction form
    7,070.82/9,753.42 = 5,084.07/x
  3. Step 3: Cross multiply
    7,070.82x = 9,753.42 × 5,084.07
  4. Step 4: Simplify right side
    7,070.82x = 49,587,070.02
  5. Step 5: Solve for x
    x = 49,587,070.02/7,070.82
  6. Step 6: Final answer
    x = 7,012.92

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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.