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Finding the Fourth Proportional to 9,087.49, 12,546.95 and 6,697.75

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Solution

The fourth proportional to 9,087.49, 12,546.95 and 6,697.75 is: 9,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.49 : 12,546.95 = 6,697.75 : x
  2. Step 2: Convert to fraction form
    9,087.49/12,546.95 = 6,697.75/x
  3. Step 3: Cross multiply
    9,087.49x = 12,546.95 × 6,697.75
  4. Step 4: Simplify right side
    9,087.49x = 84,036,300.87
  5. Step 5: Solve for x
    x = 84,036,300.87/9,087.49
  6. Step 6: Final answer
    x = 9,247.47

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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.