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Finding the Fourth Proportional to 6,184.35, 9,261.95 and 4,786.49

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Solution

The fourth proportional to 6,184.35, 9,261.95 and 4,786.49 is: 7,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.35 : 9,261.95 = 4,786.49 : x
  2. Step 2: Convert to fraction form
    6,184.35/9,261.95 = 4,786.49/x
  3. Step 3: Cross multiply
    6,184.35x = 9,261.95 × 4,786.49
  4. Step 4: Simplify right side
    6,184.35x = 44,332,230.28
  5. Step 5: Solve for x
    x = 44,332,230.28/6,184.35
  6. Step 6: Final answer
    x = 7,168.45

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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.