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Finding the Fourth Proportional to 6,285.18, 9,427.78 and 2,820

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Solution

The fourth proportional to 6,285.18, 9,427.78 and 2,820 is: 4,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.18 : 9,427.78 = 2,820 : x
  2. Step 2: Convert to fraction form
    6,285.18/9,427.78 = 2,820/x
  3. Step 3: Cross multiply
    6,285.18x = 9,427.78 × 2,820
  4. Step 4: Simplify right side
    6,285.18x = 26,586,339.60
  5. Step 5: Solve for x
    x = 26,586,339.60/6,285.18
  6. Step 6: Final answer
    x = 4,230.00

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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.