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Finding the Fourth Proportional to 9,544.30, 13,165.62 and 5,953.02

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Solution

The fourth proportional to 9,544.30, 13,165.62 and 5,953.02 is: 8,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.30 : 13,165.62 = 5,953.02 : x
  2. Step 2: Convert to fraction form
    9,544.30/13,165.62 = 5,953.02/x
  3. Step 3: Cross multiply
    9,544.30x = 13,165.62 × 5,953.02
  4. Step 4: Simplify right side
    9,544.30x = 78,375,199.17
  5. Step 5: Solve for x
    x = 78,375,199.17/9,544.30
  6. Step 6: Final answer
    x = 8,211.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.