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Finding the Fourth Proportional to 10,469.41, 14,444.71 and 6,218.34

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Solution

The fourth proportional to 10,469.41, 14,444.71 and 6,218.34 is: 8,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.41 : 14,444.71 = 6,218.34 : x
  2. Step 2: Convert to fraction form
    10,469.41/14,444.71 = 6,218.34/x
  3. Step 3: Cross multiply
    10,469.41x = 14,444.71 × 6,218.34
  4. Step 4: Simplify right side
    10,469.41x = 89,822,126.63
  5. Step 5: Solve for x
    x = 89,822,126.63/10,469.41
  6. Step 6: Final answer
    x = 8,579.48

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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.