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Finding the Fourth Proportional to 9,998.02, 13,794.87 and 6,460.48

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Solution

The fourth proportional to 9,998.02, 13,794.87 and 6,460.48 is: 8,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.02 : 13,794.87 = 6,460.48 : x
  2. Step 2: Convert to fraction form
    9,998.02/13,794.87 = 6,460.48/x
  3. Step 3: Cross multiply
    9,998.02x = 13,794.87 × 6,460.48
  4. Step 4: Simplify right side
    9,998.02x = 89,121,481.74
  5. Step 5: Solve for x
    x = 89,121,481.74/9,998.02
  6. Step 6: Final answer
    x = 8,913.91

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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.