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Finding the Fourth Proportional to 10,467.78, 14,447.79 and 6,434.59

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Solution

The fourth proportional to 10,467.78, 14,447.79 and 6,434.59 is: 8,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.78 : 14,447.79 = 6,434.59 : x
  2. Step 2: Convert to fraction form
    10,467.78/14,447.79 = 6,434.59/x
  3. Step 3: Cross multiply
    10,467.78x = 14,447.79 × 6,434.59
  4. Step 4: Simplify right side
    10,467.78x = 92,965,614.12
  5. Step 5: Solve for x
    x = 92,965,614.12/10,467.78
  6. Step 6: Final answer
    x = 8,881.12

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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.