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Finding the Fourth Proportional to 9,158.39, 13,711.64 and 6,028.98

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Solution

The fourth proportional to 9,158.39, 13,711.64 and 6,028.98 is: 9,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.39 : 13,711.64 = 6,028.98 : x
  2. Step 2: Convert to fraction form
    9,158.39/13,711.64 = 6,028.98/x
  3. Step 3: Cross multiply
    9,158.39x = 13,711.64 × 6,028.98
  4. Step 4: Simplify right side
    9,158.39x = 82,667,173.18
  5. Step 5: Solve for x
    x = 82,667,173.18/9,158.39
  6. Step 6: Final answer
    x = 9,026.39

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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.