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Finding the Fourth Proportional to 9,397.82, 14,114.79 and 9,019.15

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Solution

The fourth proportional to 9,397.82, 14,114.79 and 9,019.15 is: 13,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.82 : 14,114.79 = 9,019.15 : x
  2. Step 2: Convert to fraction form
    9,397.82/14,114.79 = 9,019.15/x
  3. Step 3: Cross multiply
    9,397.82x = 14,114.79 × 9,019.15
  4. Step 4: Simplify right side
    9,397.82x = 127,303,372.94
  5. Step 5: Solve for x
    x = 127,303,372.94/9,397.82
  6. Step 6: Final answer
    x = 13,546.05

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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.