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Finding the Fourth Proportional to 6,736.42, 9,288.83 and 4,612.30

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Solution

The fourth proportional to 6,736.42, 9,288.83 and 4,612.30 is: 6,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.42 : 9,288.83 = 4,612.30 : x
  2. Step 2: Convert to fraction form
    6,736.42/9,288.83 = 4,612.30/x
  3. Step 3: Cross multiply
    6,736.42x = 9,288.83 × 4,612.30
  4. Step 4: Simplify right side
    6,736.42x = 42,842,870.61
  5. Step 5: Solve for x
    x = 42,842,870.61/6,736.42
  6. Step 6: Final answer
    x = 6,359.89

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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.