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Finding the Fourth Proportional to 9,390.52, 12,958.32 and 5,198.50

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Solution

The fourth proportional to 9,390.52, 12,958.32 and 5,198.50 is: 7,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.52 : 12,958.32 = 5,198.50 : x
  2. Step 2: Convert to fraction form
    9,390.52/12,958.32 = 5,198.50/x
  3. Step 3: Cross multiply
    9,390.52x = 12,958.32 × 5,198.50
  4. Step 4: Simplify right side
    9,390.52x = 67,363,826.52
  5. Step 5: Solve for x
    x = 67,363,826.52/9,390.52
  6. Step 6: Final answer
    x = 7,173.60

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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.