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Finding the Fourth Proportional to 9,289.87, 12,820.89 and 5,310.21

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Solution

The fourth proportional to 9,289.87, 12,820.89 and 5,310.21 is: 7,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.87 : 12,820.89 = 5,310.21 : x
  2. Step 2: Convert to fraction form
    9,289.87/12,820.89 = 5,310.21/x
  3. Step 3: Cross multiply
    9,289.87x = 12,820.89 × 5,310.21
  4. Step 4: Simplify right side
    9,289.87x = 68,081,618.29
  5. Step 5: Solve for x
    x = 68,081,618.29/9,289.87
  6. Step 6: Final answer
    x = 7,328.59

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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.