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Finding the Fourth Proportional to 7,058.27, 9,740.17 and 3,914.75

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Solution

The fourth proportional to 7,058.27, 9,740.17 and 3,914.75 is: 5,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.27 : 9,740.17 = 3,914.75 : x
  2. Step 2: Convert to fraction form
    7,058.27/9,740.17 = 3,914.75/x
  3. Step 3: Cross multiply
    7,058.27x = 9,740.17 × 3,914.75
  4. Step 4: Simplify right side
    7,058.27x = 38,130,359.75
  5. Step 5: Solve for x
    x = 38,130,359.75/7,058.27
  6. Step 6: Final answer
    x = 5,402.22

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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.