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Finding the Fourth Proportional to 6,709.85, 9,260.91 and 4,285.66

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Solution

The fourth proportional to 6,709.85, 9,260.91 and 4,285.66 is: 5,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.85 : 9,260.91 = 4,285.66 : x
  2. Step 2: Convert to fraction form
    6,709.85/9,260.91 = 4,285.66/x
  3. Step 3: Cross multiply
    6,709.85x = 9,260.91 × 4,285.66
  4. Step 4: Simplify right side
    6,709.85x = 39,689,043.82
  5. Step 5: Solve for x
    x = 39,689,043.82/6,709.85
  6. Step 6: Final answer
    x = 5,915.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.