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Finding the Fourth Proportional to 9,267.50, 12,789.36 and 5,288.54

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Solution

The fourth proportional to 9,267.50, 12,789.36 and 5,288.54 is: 7,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.50 : 12,789.36 = 5,288.54 : x
  2. Step 2: Convert to fraction form
    9,267.50/12,789.36 = 5,288.54/x
  3. Step 3: Cross multiply
    9,267.50x = 12,789.36 × 5,288.54
  4. Step 4: Simplify right side
    9,267.50x = 67,636,977.99
  5. Step 5: Solve for x
    x = 67,636,977.99/9,267.50
  6. Step 6: Final answer
    x = 7,298.30

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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.