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Finding the Fourth Proportional to 6,186.84, 8,537.95 and 3,392.16

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Solution

The fourth proportional to 6,186.84, 8,537.95 and 3,392.16 is: 4,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.84 : 8,537.95 = 3,392.16 : x
  2. Step 2: Convert to fraction form
    6,186.84/8,537.95 = 3,392.16/x
  3. Step 3: Cross multiply
    6,186.84x = 8,537.95 × 3,392.16
  4. Step 4: Simplify right side
    6,186.84x = 28,962,092.47
  5. Step 5: Solve for x
    x = 28,962,092.47/6,186.84
  6. Step 6: Final answer
    x = 4,681.24

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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.