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Finding the Fourth Proportional to 9,462.09, 13,058.09 and 5,270.34

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Solution

The fourth proportional to 9,462.09, 13,058.09 and 5,270.34 is: 7,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.09 : 13,058.09 = 5,270.34 : x
  2. Step 2: Convert to fraction form
    9,462.09/13,058.09 = 5,270.34/x
  3. Step 3: Cross multiply
    9,462.09x = 13,058.09 × 5,270.34
  4. Step 4: Simplify right side
    9,462.09x = 68,820,646.08
  5. Step 5: Solve for x
    x = 68,820,646.08/9,462.09
  6. Step 6: Final answer
    x = 7,273.30

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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.