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Finding the Fourth Proportional to 9,836.70, 13,572.90 and 5,857.16

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Solution

The fourth proportional to 9,836.70, 13,572.90 and 5,857.16 is: 8,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.70 : 13,572.90 = 5,857.16 : x
  2. Step 2: Convert to fraction form
    9,836.70/13,572.90 = 5,857.16/x
  3. Step 3: Cross multiply
    9,836.70x = 13,572.90 × 5,857.16
  4. Step 4: Simplify right side
    9,836.70x = 79,498,646.96
  5. Step 5: Solve for x
    x = 79,498,646.96/9,836.70
  6. Step 6: Final answer
    x = 8,081.84

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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.