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Finding the Fourth Proportional to 9,847.16, 13,586.96 and 5,869.59

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Solution

The fourth proportional to 9,847.16, 13,586.96 and 5,869.59 is: 8,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.16 : 13,586.96 = 5,869.59 : x
  2. Step 2: Convert to fraction form
    9,847.16/13,586.96 = 5,869.59/x
  3. Step 3: Cross multiply
    9,847.16x = 13,586.96 × 5,869.59
  4. Step 4: Simplify right side
    9,847.16x = 79,749,855.20
  5. Step 5: Solve for x
    x = 79,749,855.20/9,847.16
  6. Step 6: Final answer
    x = 8,098.77

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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.