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Finding the Fourth Proportional to 9,812.56, 13,543.14 and 5,836

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Solution

The fourth proportional to 9,812.56, 13,543.14 and 5,836 is: 8,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.56 : 13,543.14 = 5,836 : x
  2. Step 2: Convert to fraction form
    9,812.56/13,543.14 = 5,836/x
  3. Step 3: Cross multiply
    9,812.56x = 13,543.14 × 5,836
  4. Step 4: Simplify right side
    9,812.56x = 79,037,765.04
  5. Step 5: Solve for x
    x = 79,037,765.04/9,812.56
  6. Step 6: Final answer
    x = 8,054.75

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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.