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Finding the Fourth Proportional to 9,844.76, 14,753.31 and 5,390.99

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Solution

The fourth proportional to 9,844.76, 14,753.31 and 5,390.99 is: 8,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.76 : 14,753.31 = 5,390.99 : x
  2. Step 2: Convert to fraction form
    9,844.76/14,753.31 = 5,390.99/x
  3. Step 3: Cross multiply
    9,844.76x = 14,753.31 × 5,390.99
  4. Step 4: Simplify right side
    9,844.76x = 79,534,946.68
  5. Step 5: Solve for x
    x = 79,534,946.68/9,844.76
  6. Step 6: Final answer
    x = 8,078.91

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Why These Related Problems?

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