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Finding the Fourth Proportional to 12,385.86, 17,092.44 and 6,720.63

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Solution

The fourth proportional to 12,385.86, 17,092.44 and 6,720.63 is: 9,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.86 : 17,092.44 = 6,720.63 : x
  2. Step 2: Convert to fraction form
    12,385.86/17,092.44 = 6,720.63/x
  3. Step 3: Cross multiply
    12,385.86x = 17,092.44 × 6,720.63
  4. Step 4: Simplify right side
    12,385.86x = 114,871,965.04
  5. Step 5: Solve for x
    x = 114,871,965.04/12,385.86
  6. Step 6: Final answer
    x = 9,274.44

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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.