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Finding the Fourth Proportional to 6,285.73, 9,425.14 and 4,064.25

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Solution

The fourth proportional to 6,285.73, 9,425.14 and 4,064.25 is: 6,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.73 : 9,425.14 = 4,064.25 : x
  2. Step 2: Convert to fraction form
    6,285.73/9,425.14 = 4,064.25/x
  3. Step 3: Cross multiply
    6,285.73x = 9,425.14 × 4,064.25
  4. Step 4: Simplify right side
    6,285.73x = 38,306,125.25
  5. Step 5: Solve for x
    x = 38,306,125.25/6,285.73
  6. Step 6: Final answer
    x = 6,094.14

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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.