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Finding the Fourth Proportional to 9,938.91, 13,722.12 and 6,166.10

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Solution

The fourth proportional to 9,938.91, 13,722.12 and 6,166.10 is: 8,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.91 : 13,722.12 = 6,166.10 : x
  2. Step 2: Convert to fraction form
    9,938.91/13,722.12 = 6,166.10/x
  3. Step 3: Cross multiply
    9,938.91x = 13,722.12 × 6,166.10
  4. Step 4: Simplify right side
    9,938.91x = 84,611,895.52
  5. Step 5: Solve for x
    x = 84,611,895.52/9,938.91
  6. Step 6: Final answer
    x = 8,513.20

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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.