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Finding the Fourth Proportional to 9,546.83, 14,301.07 and 4,866.65

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Solution

The fourth proportional to 9,546.83, 14,301.07 and 4,866.65 is: 7,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.83 : 14,301.07 = 4,866.65 : x
  2. Step 2: Convert to fraction form
    9,546.83/14,301.07 = 4,866.65/x
  3. Step 3: Cross multiply
    9,546.83x = 14,301.07 × 4,866.65
  4. Step 4: Simplify right side
    9,546.83x = 69,598,218.64
  5. Step 5: Solve for x
    x = 69,598,218.64/9,546.83
  6. Step 6: Final answer
    x = 7,290.20

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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.