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Finding the Fourth Proportional to 9,134.67, 12,594.37 and 7,454.37

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Solution

The fourth proportional to 9,134.67, 12,594.37 and 7,454.37 is: 10,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.67 : 12,594.37 = 7,454.37 : x
  2. Step 2: Convert to fraction form
    9,134.67/12,594.37 = 7,454.37/x
  3. Step 3: Cross multiply
    9,134.67x = 12,594.37 × 7,454.37
  4. Step 4: Simplify right side
    9,134.67x = 93,883,093.90
  5. Step 5: Solve for x
    x = 93,883,093.90/9,134.67
  6. Step 6: Final answer
    x = 10,277.67

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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.