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Finding the Fourth Proportional to 12,266.02, 16,937.94 and 9,116.74

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Solution

The fourth proportional to 12,266.02, 16,937.94 and 9,116.74 is: 12,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.02 : 16,937.94 = 9,116.74 : x
  2. Step 2: Convert to fraction form
    12,266.02/16,937.94 = 9,116.74/x
  3. Step 3: Cross multiply
    12,266.02x = 16,937.94 × 9,116.74
  4. Step 4: Simplify right side
    12,266.02x = 154,418,795.12
  5. Step 5: Solve for x
    x = 154,418,795.12/12,266.02
  6. Step 6: Final answer
    x = 12,589.15

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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.