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Finding the Fourth Proportional to 6,285.84, 9,426.60 and 2,816.88

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Solution

The fourth proportional to 6,285.84, 9,426.60 and 2,816.88 is: 4,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.84 : 9,426.60 = 2,816.88 : x
  2. Step 2: Convert to fraction form
    6,285.84/9,426.60 = 2,816.88/x
  3. Step 3: Cross multiply
    6,285.84x = 9,426.60 × 2,816.88
  4. Step 4: Simplify right side
    6,285.84x = 26,553,601.01
  5. Step 5: Solve for x
    x = 26,553,601.01/6,285.84
  6. Step 6: Final answer
    x = 4,224.35

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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.