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Finding the Fourth Proportional to 10,309.84, 14,227.32 and 6,118

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Solution

The fourth proportional to 10,309.84, 14,227.32 and 6,118 is: 8,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.84 : 14,227.32 = 6,118 : x
  2. Step 2: Convert to fraction form
    10,309.84/14,227.32 = 6,118/x
  3. Step 3: Cross multiply
    10,309.84x = 14,227.32 × 6,118
  4. Step 4: Simplify right side
    10,309.84x = 87,042,743.76
  5. Step 5: Solve for x
    x = 87,042,743.76/10,309.84
  6. Step 6: Final answer
    x = 8,442.69

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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.