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Finding the Fourth Proportional to 9,904.78, 14,857.17 and 2,509.81

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Solution

The fourth proportional to 9,904.78, 14,857.17 and 2,509.81 is: 3,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.78 : 14,857.17 = 2,509.81 : x
  2. Step 2: Convert to fraction form
    9,904.78/14,857.17 = 2,509.81/x
  3. Step 3: Cross multiply
    9,904.78x = 14,857.17 × 2,509.81
  4. Step 4: Simplify right side
    9,904.78x = 37,288,673.84
  5. Step 5: Solve for x
    x = 37,288,673.84/9,904.78
  6. Step 6: Final answer
    x = 3,764.72

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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.