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Finding the Fourth Proportional to 9,427.86, 14,147.10 and 8,684.28

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Solution

The fourth proportional to 9,427.86, 14,147.10 and 8,684.28 is: 13,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.86 : 14,147.10 = 8,684.28 : x
  2. Step 2: Convert to fraction form
    9,427.86/14,147.10 = 8,684.28/x
  3. Step 3: Cross multiply
    9,427.86x = 14,147.10 × 8,684.28
  4. Step 4: Simplify right side
    9,427.86x = 122,857,377.59
  5. Step 5: Solve for x
    x = 122,857,377.59/9,427.86
  6. Step 6: Final answer
    x = 13,031.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.