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Finding the Fourth Proportional to 6,285.16, 9,427.20 and 1,903.60

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Solution

The fourth proportional to 6,285.16, 9,427.20 and 1,903.60 is: 2,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.16 : 9,427.20 = 1,903.60 : x
  2. Step 2: Convert to fraction form
    6,285.16/9,427.20 = 1,903.60/x
  3. Step 3: Cross multiply
    6,285.16x = 9,427.20 × 1,903.60
  4. Step 4: Simplify right side
    6,285.16x = 17,945,617.92
  5. Step 5: Solve for x
    x = 17,945,617.92/6,285.16
  6. Step 6: Final answer
    x = 2,855.24

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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.