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Finding the Fourth Proportional to 9,847.49, 13,588.29 and 5,869.04

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Solution

The fourth proportional to 9,847.49, 13,588.29 and 5,869.04 is: 8,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.49 : 13,588.29 = 5,869.04 : x
  2. Step 2: Convert to fraction form
    9,847.49/13,588.29 = 5,869.04/x
  3. Step 3: Cross multiply
    9,847.49x = 13,588.29 × 5,869.04
  4. Step 4: Simplify right side
    9,847.49x = 79,750,149.60
  5. Step 5: Solve for x
    x = 79,750,149.60/9,847.49
  6. Step 6: Final answer
    x = 8,098.53

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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.