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Finding the Fourth Proportional to 9,462.39, 13,058.70 and 5,270.63

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Solution

The fourth proportional to 9,462.39, 13,058.70 and 5,270.63 is: 7,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.39 : 13,058.70 = 5,270.63 : x
  2. Step 2: Convert to fraction form
    9,462.39/13,058.70 = 5,270.63/x
  3. Step 3: Cross multiply
    9,462.39x = 13,058.70 × 5,270.63
  4. Step 4: Simplify right side
    9,462.39x = 68,827,549.63
  5. Step 5: Solve for x
    x = 68,827,549.63/9,462.39
  6. Step 6: Final answer
    x = 7,273.80

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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.