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Finding the Fourth Proportional to 9,819.57, 14,782.77 and 8,947.69

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Solution

The fourth proportional to 9,819.57, 14,782.77 and 8,947.69 is: 13,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.57 : 14,782.77 = 8,947.69 : x
  2. Step 2: Convert to fraction form
    9,819.57/14,782.77 = 8,947.69/x
  3. Step 3: Cross multiply
    9,819.57x = 14,782.77 × 8,947.69
  4. Step 4: Simplify right side
    9,819.57x = 132,271,643.30
  5. Step 5: Solve for x
    x = 132,271,643.30/9,819.57
  6. Step 6: Final answer
    x = 13,470.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.