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Finding the Fourth Proportional to 9,560.73, 13,193.62 and 5,311.77

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Solution

The fourth proportional to 9,560.73, 13,193.62 and 5,311.77 is: 7,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.73 : 13,193.62 = 5,311.77 : x
  2. Step 2: Convert to fraction form
    9,560.73/13,193.62 = 5,311.77/x
  3. Step 3: Cross multiply
    9,560.73x = 13,193.62 × 5,311.77
  4. Step 4: Simplify right side
    9,560.73x = 70,081,531.02
  5. Step 5: Solve for x
    x = 70,081,531.02/9,560.73
  6. Step 6: Final answer
    x = 7,330.14

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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.