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Finding the Fourth Proportional to 9,581.73, 14,372.73 and 2,656.23

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Solution

The fourth proportional to 9,581.73, 14,372.73 and 2,656.23 is: 3,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.73 : 14,372.73 = 2,656.23 : x
  2. Step 2: Convert to fraction form
    9,581.73/14,372.73 = 2,656.23/x
  3. Step 3: Cross multiply
    9,581.73x = 14,372.73 × 2,656.23
  4. Step 4: Simplify right side
    9,581.73x = 38,177,276.61
  5. Step 5: Solve for x
    x = 38,177,276.61/9,581.73
  6. Step 6: Final answer
    x = 3,984.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.