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Finding the Fourth Proportional to 6,441.06, 9,646.08 and 3,660.93

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Solution

The fourth proportional to 6,441.06, 9,646.08 and 3,660.93 is: 5,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.06 : 9,646.08 = 3,660.93 : x
  2. Step 2: Convert to fraction form
    6,441.06/9,646.08 = 3,660.93/x
  3. Step 3: Cross multiply
    6,441.06x = 9,646.08 × 3,660.93
  4. Step 4: Simplify right side
    6,441.06x = 35,313,623.65
  5. Step 5: Solve for x
    x = 35,313,623.65/6,441.06
  6. Step 6: Final answer
    x = 5,482.58

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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.