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Finding the Fourth Proportional to 9,656.68, 14,460.51 and 8,092.57

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Solution

The fourth proportional to 9,656.68, 14,460.51 and 8,092.57 is: 12,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.68 : 14,460.51 = 8,092.57 : x
  2. Step 2: Convert to fraction form
    9,656.68/14,460.51 = 8,092.57/x
  3. Step 3: Cross multiply
    9,656.68x = 14,460.51 × 8,092.57
  4. Step 4: Simplify right side
    9,656.68x = 117,022,689.41
  5. Step 5: Solve for x
    x = 117,022,689.41/9,656.68
  6. Step 6: Final answer
    x = 12,118.31

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Why These Related Problems?

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