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Finding the Fourth Proportional to 9,952.41, 13,733.81 and 5,476.58

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Solution

The fourth proportional to 9,952.41, 13,733.81 and 5,476.58 is: 7,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.41 : 13,733.81 = 5,476.58 : x
  2. Step 2: Convert to fraction form
    9,952.41/13,733.81 = 5,476.58/x
  3. Step 3: Cross multiply
    9,952.41x = 13,733.81 × 5,476.58
  4. Step 4: Simplify right side
    9,952.41x = 75,214,233.66
  5. Step 5: Solve for x
    x = 75,214,233.66/9,952.41
  6. Step 6: Final answer
    x = 7,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.