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Finding the Fourth Proportional to 6,166.65, 9,248.78 and 5,133.30

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Solution

The fourth proportional to 6,166.65, 9,248.78 and 5,133.30 is: 7,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.65 : 9,248.78 = 5,133.30 : x
  2. Step 2: Convert to fraction form
    6,166.65/9,248.78 = 5,133.30/x
  3. Step 3: Cross multiply
    6,166.65x = 9,248.78 × 5,133.30
  4. Step 4: Simplify right side
    6,166.65x = 47,476,736.71
  5. Step 5: Solve for x
    x = 47,476,736.71/6,166.65
  6. Step 6: Final answer
    x = 7,698.95

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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.