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Finding the Fourth Proportional to 6,339.99, 9,496.44 and 5,148.66

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Solution

The fourth proportional to 6,339.99, 9,496.44 and 5,148.66 is: 7,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.99 : 9,496.44 = 5,148.66 : x
  2. Step 2: Convert to fraction form
    6,339.99/9,496.44 = 5,148.66/x
  3. Step 3: Cross multiply
    6,339.99x = 9,496.44 × 5,148.66
  4. Step 4: Simplify right side
    6,339.99x = 48,893,940.77
  5. Step 5: Solve for x
    x = 48,893,940.77/6,339.99
  6. Step 6: Final answer
    x = 7,711.99

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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.