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Finding the Fourth Proportional to 9,659.61, 14,458.10 and 5,211.09

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Solution

The fourth proportional to 9,659.61, 14,458.10 and 5,211.09 is: 7,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.61 : 14,458.10 = 5,211.09 : x
  2. Step 2: Convert to fraction form
    9,659.61/14,458.10 = 5,211.09/x
  3. Step 3: Cross multiply
    9,659.61x = 14,458.10 × 5,211.09
  4. Step 4: Simplify right side
    9,659.61x = 75,342,434.27
  5. Step 5: Solve for x
    x = 75,342,434.27/9,659.61
  6. Step 6: Final answer
    x = 7,799.74

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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.