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Finding the Fourth Proportional to 9,289.59, 12,819.86 and 5,311.07

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Solution

The fourth proportional to 9,289.59, 12,819.86 and 5,311.07 is: 7,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.59 : 12,819.86 = 5,311.07 : x
  2. Step 2: Convert to fraction form
    9,289.59/12,819.86 = 5,311.07/x
  3. Step 3: Cross multiply
    9,289.59x = 12,819.86 × 5,311.07
  4. Step 4: Simplify right side
    9,289.59x = 68,087,179.34
  5. Step 5: Solve for x
    x = 68,087,179.34/9,289.59
  6. Step 6: Final answer
    x = 7,329.41

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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.