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Finding the Fourth Proportional to 6,285.65, 9,429.98 and 4,440.38

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Solution

The fourth proportional to 6,285.65, 9,429.98 and 4,440.38 is: 6,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.65 : 9,429.98 = 4,440.38 : x
  2. Step 2: Convert to fraction form
    6,285.65/9,429.98 = 4,440.38/x
  3. Step 3: Cross multiply
    6,285.65x = 9,429.98 × 4,440.38
  4. Step 4: Simplify right side
    6,285.65x = 41,872,625.24
  5. Step 5: Solve for x
    x = 41,872,625.24/6,285.65
  6. Step 6: Final answer
    x = 6,661.63

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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.