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Finding the Fourth Proportional to 9,719.44, 13,398.51 and 6,878.01

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Solution

The fourth proportional to 9,719.44, 13,398.51 and 6,878.01 is: 9,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.44 : 13,398.51 = 6,878.01 : x
  2. Step 2: Convert to fraction form
    9,719.44/13,398.51 = 6,878.01/x
  3. Step 3: Cross multiply
    9,719.44x = 13,398.51 × 6,878.01
  4. Step 4: Simplify right side
    9,719.44x = 92,155,161.80
  5. Step 5: Solve for x
    x = 92,155,161.80/9,719.44
  6. Step 6: Final answer
    x = 9,481.53

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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.