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Finding the Fourth Proportional to 9,889.22, 14,837.72 and 4,338.69

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Solution

The fourth proportional to 9,889.22, 14,837.72 and 4,338.69 is: 6,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.22 : 14,837.72 = 4,338.69 : x
  2. Step 2: Convert to fraction form
    9,889.22/14,837.72 = 4,338.69/x
  3. Step 3: Cross multiply
    9,889.22x = 14,837.72 × 4,338.69
  4. Step 4: Simplify right side
    9,889.22x = 64,376,245.69
  5. Step 5: Solve for x
    x = 64,376,245.69/9,889.22
  6. Step 6: Final answer
    x = 6,509.74

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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.