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Finding the Fourth Proportional to 9,904.76, 14,858.36 and 3,663.71

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Solution

The fourth proportional to 9,904.76, 14,858.36 and 3,663.71 is: 5,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.76 : 14,858.36 = 3,663.71 : x
  2. Step 2: Convert to fraction form
    9,904.76/14,858.36 = 3,663.71/x
  3. Step 3: Cross multiply
    9,904.76x = 14,858.36 × 3,663.71
  4. Step 4: Simplify right side
    9,904.76x = 54,436,722.12
  5. Step 5: Solve for x
    x = 54,436,722.12/9,904.76
  6. Step 6: Final answer
    x = 5,496.02

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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.