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Finding the Fourth Proportional to 9,614.58, 13,269.35 and 5,839.26

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Solution

The fourth proportional to 9,614.58, 13,269.35 and 5,839.26 is: 8,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.58 : 13,269.35 = 5,839.26 : x
  2. Step 2: Convert to fraction form
    9,614.58/13,269.35 = 5,839.26/x
  3. Step 3: Cross multiply
    9,614.58x = 13,269.35 × 5,839.26
  4. Step 4: Simplify right side
    9,614.58x = 77,483,184.68
  5. Step 5: Solve for x
    x = 77,483,184.68/9,614.58
  6. Step 6: Final answer
    x = 8,058.93

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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.