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Finding the Fourth Proportional to 9,865.03, 13,586.08 and 9,834.27

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Solution

The fourth proportional to 9,865.03, 13,586.08 and 9,834.27 is: 13,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.03 : 13,586.08 = 9,834.27 : x
  2. Step 2: Convert to fraction form
    9,865.03/13,586.08 = 9,834.27/x
  3. Step 3: Cross multiply
    9,865.03x = 13,586.08 × 9,834.27
  4. Step 4: Simplify right side
    9,865.03x = 133,609,178.96
  5. Step 5: Solve for x
    x = 133,609,178.96/9,865.03
  6. Step 6: Final answer
    x = 13,543.72

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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.