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Finding the Fourth Proportional to 9,865.02, 13,586.08 and 9,834.28

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Solution

The fourth proportional to 9,865.02, 13,586.08 and 9,834.28 is: 13,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.02 : 13,586.08 = 9,834.28 : x
  2. Step 2: Convert to fraction form
    9,865.02/13,586.08 = 9,834.28/x
  3. Step 3: Cross multiply
    9,865.02x = 13,586.08 × 9,834.28
  4. Step 4: Simplify right side
    9,865.02x = 133,609,314.82
  5. Step 5: Solve for x
    x = 133,609,314.82/9,865.02
  6. Step 6: Final answer
    x = 13,543.74

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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.