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Finding the Fourth Proportional to 9,743.68, 14,617.69 and 4,546.72

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Solution

The fourth proportional to 9,743.68, 14,617.69 and 4,546.72 is: 6,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.68 : 14,617.69 = 4,546.72 : x
  2. Step 2: Convert to fraction form
    9,743.68/14,617.69 = 4,546.72/x
  3. Step 3: Cross multiply
    9,743.68x = 14,617.69 × 4,546.72
  4. Step 4: Simplify right side
    9,743.68x = 66,462,543.48
  5. Step 5: Solve for x
    x = 66,462,543.48/9,743.68
  6. Step 6: Final answer
    x = 6,821.09

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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.