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Finding the Fourth Proportional to 8,154.49, 12,194.37 and 6,075.94

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Solution

The fourth proportional to 8,154.49, 12,194.37 and 6,075.94 is: 9,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.49 : 12,194.37 = 6,075.94 : x
  2. Step 2: Convert to fraction form
    8,154.49/12,194.37 = 6,075.94/x
  3. Step 3: Cross multiply
    8,154.49x = 12,194.37 × 6,075.94
  4. Step 4: Simplify right side
    8,154.49x = 74,092,260.46
  5. Step 5: Solve for x
    x = 74,092,260.46/8,154.49
  6. Step 6: Final answer
    x = 9,086.07

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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.