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Finding the Fourth Proportional to 9,407.80, 14,107.14 and 2,832.76

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Solution

The fourth proportional to 9,407.80, 14,107.14 and 2,832.76 is: 4,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.80 : 14,107.14 = 2,832.76 : x
  2. Step 2: Convert to fraction form
    9,407.80/14,107.14 = 2,832.76/x
  3. Step 3: Cross multiply
    9,407.80x = 14,107.14 × 2,832.76
  4. Step 4: Simplify right side
    9,407.80x = 39,962,141.91
  5. Step 5: Solve for x
    x = 39,962,141.91/9,407.80
  6. Step 6: Final answer
    x = 4,247.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.