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Finding the Fourth Proportional to 9,352.24, 12,907.50 and 5,998.84

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Solution

The fourth proportional to 9,352.24, 12,907.50 and 5,998.84 is: 8,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.24 : 12,907.50 = 5,998.84 : x
  2. Step 2: Convert to fraction form
    9,352.24/12,907.50 = 5,998.84/x
  3. Step 3: Cross multiply
    9,352.24x = 12,907.50 × 5,998.84
  4. Step 4: Simplify right side
    9,352.24x = 77,430,027.30
  5. Step 5: Solve for x
    x = 77,430,027.30/9,352.24
  6. Step 6: Final answer
    x = 8,279.30

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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.