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Finding the Fourth Proportional to 10,227.76, 14,114.06 and 6,690.89

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Solution

The fourth proportional to 10,227.76, 14,114.06 and 6,690.89 is: 9,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.76 : 14,114.06 = 6,690.89 : x
  2. Step 2: Convert to fraction form
    10,227.76/14,114.06 = 6,690.89/x
  3. Step 3: Cross multiply
    10,227.76x = 14,114.06 × 6,690.89
  4. Step 4: Simplify right side
    10,227.76x = 94,435,622.91
  5. Step 5: Solve for x
    x = 94,435,622.91/10,227.76
  6. Step 6: Final answer
    x = 9,233.27

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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.