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Finding the Fourth Proportional to 9,581.73, 13,220.81 and 5,602.06

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Solution

The fourth proportional to 9,581.73, 13,220.81 and 5,602.06 is: 7,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.73 : 13,220.81 = 5,602.06 : x
  2. Step 2: Convert to fraction form
    9,581.73/13,220.81 = 5,602.06/x
  3. Step 3: Cross multiply
    9,581.73x = 13,220.81 × 5,602.06
  4. Step 4: Simplify right side
    9,581.73x = 74,063,742.86
  5. Step 5: Solve for x
    x = 74,063,742.86/9,581.73
  6. Step 6: Final answer
    x = 7,729.69

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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.