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Finding the Fourth Proportional to 9,581.88, 13,224.03 and 6,046.23

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Solution

The fourth proportional to 9,581.88, 13,224.03 and 6,046.23 is: 8,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.88 : 13,224.03 = 6,046.23 : x
  2. Step 2: Convert to fraction form
    9,581.88/13,224.03 = 6,046.23/x
  3. Step 3: Cross multiply
    9,581.88x = 13,224.03 × 6,046.23
  4. Step 4: Simplify right side
    9,581.88x = 79,955,526.91
  5. Step 5: Solve for x
    x = 79,955,526.91/9,581.88
  6. Step 6: Final answer
    x = 8,344.45

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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.