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Finding the Fourth Proportional to 9,151.39, 13,701.14 and 6,021.98

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Solution

The fourth proportional to 9,151.39, 13,701.14 and 6,021.98 is: 9,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.39 : 13,701.14 = 6,021.98 : x
  2. Step 2: Convert to fraction form
    9,151.39/13,701.14 = 6,021.98/x
  3. Step 3: Cross multiply
    9,151.39x = 13,701.14 × 6,021.98
  4. Step 4: Simplify right side
    9,151.39x = 82,507,960.95
  5. Step 5: Solve for x
    x = 82,507,960.95/9,151.39
  6. Step 6: Final answer
    x = 9,015.90

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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.