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Finding the Fourth Proportional to 6,506.94, 9,760.41 and 3,046.62

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Solution

The fourth proportional to 6,506.94, 9,760.41 and 3,046.62 is: 4,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.94 : 9,760.41 = 3,046.62 : x
  2. Step 2: Convert to fraction form
    6,506.94/9,760.41 = 3,046.62/x
  3. Step 3: Cross multiply
    6,506.94x = 9,760.41 × 3,046.62
  4. Step 4: Simplify right side
    6,506.94x = 29,736,260.31
  5. Step 5: Solve for x
    x = 29,736,260.31/6,506.94
  6. Step 6: Final answer
    x = 4,569.93

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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.