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Finding the Fourth Proportional to 9,398.69, 14,015.06 and 9,314.33

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Solution

The fourth proportional to 9,398.69, 14,015.06 and 9,314.33 is: 13,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.69 : 14,015.06 = 9,314.33 : x
  2. Step 2: Convert to fraction form
    9,398.69/14,015.06 = 9,314.33/x
  3. Step 3: Cross multiply
    9,398.69x = 14,015.06 × 9,314.33
  4. Step 4: Simplify right side
    9,398.69x = 130,540,777.16
  5. Step 5: Solve for x
    x = 130,540,777.16/9,398.69
  6. Step 6: Final answer
    x = 13,889.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.