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Finding the Fourth Proportional to 8,962.94, 12,366.82 and 5,186.01

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Solution

The fourth proportional to 8,962.94, 12,366.82 and 5,186.01 is: 7,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.94 : 12,366.82 = 5,186.01 : x
  2. Step 2: Convert to fraction form
    8,962.94/12,366.82 = 5,186.01/x
  3. Step 3: Cross multiply
    8,962.94x = 12,366.82 × 5,186.01
  4. Step 4: Simplify right side
    8,962.94x = 64,134,505.05
  5. Step 5: Solve for x
    x = 64,134,505.05/8,962.94
  6. Step 6: Final answer
    x = 7,155.52

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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.