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Finding the Fourth Proportional to 9,005.13, 12,427.27 and 4,971.94

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Solution

The fourth proportional to 9,005.13, 12,427.27 and 4,971.94 is: 6,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.13 : 12,427.27 = 4,971.94 : x
  2. Step 2: Convert to fraction form
    9,005.13/12,427.27 = 4,971.94/x
  3. Step 3: Cross multiply
    9,005.13x = 12,427.27 × 4,971.94
  4. Step 4: Simplify right side
    9,005.13x = 61,787,691.68
  5. Step 5: Solve for x
    x = 61,787,691.68/9,005.13
  6. Step 6: Final answer
    x = 6,861.39

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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.