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Finding the Fourth Proportional to 9,194.50, 12,686.47 and 6,012.46

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Solution

The fourth proportional to 9,194.50, 12,686.47 and 6,012.46 is: 8,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.50 : 12,686.47 = 6,012.46 : x
  2. Step 2: Convert to fraction form
    9,194.50/12,686.47 = 6,012.46/x
  3. Step 3: Cross multiply
    9,194.50x = 12,686.47 × 6,012.46
  4. Step 4: Simplify right side
    9,194.50x = 76,276,814.95
  5. Step 5: Solve for x
    x = 76,276,814.95/9,194.50
  6. Step 6: Final answer
    x = 8,295.92

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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.