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Finding the Fourth Proportional to 9,356.68, 12,911.34 and 5,817.16

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Solution

The fourth proportional to 9,356.68, 12,911.34 and 5,817.16 is: 8,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.68 : 12,911.34 = 5,817.16 : x
  2. Step 2: Convert to fraction form
    9,356.68/12,911.34 = 5,817.16/x
  3. Step 3: Cross multiply
    9,356.68x = 12,911.34 × 5,817.16
  4. Step 4: Simplify right side
    9,356.68x = 75,107,330.59
  5. Step 5: Solve for x
    x = 75,107,330.59/9,356.68
  6. Step 6: Final answer
    x = 8,027.13

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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.