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Finding the Fourth Proportional to 9,577.89, 13,214.42 and 5,799.85

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Solution

The fourth proportional to 9,577.89, 13,214.42 and 5,799.85 is: 8,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.89 : 13,214.42 = 5,799.85 : x
  2. Step 2: Convert to fraction form
    9,577.89/13,214.42 = 5,799.85/x
  3. Step 3: Cross multiply
    9,577.89x = 13,214.42 × 5,799.85
  4. Step 4: Simplify right side
    9,577.89x = 76,641,624.84
  5. Step 5: Solve for x
    x = 76,641,624.84/9,577.89
  6. Step 6: Final answer
    x = 8,001.93

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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.