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Finding the Fourth Proportional to 9,472.72, 13,072.44 and 5,696

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Solution

The fourth proportional to 9,472.72, 13,072.44 and 5,696 is: 7,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.72 : 13,072.44 = 5,696 : x
  2. Step 2: Convert to fraction form
    9,472.72/13,072.44 = 5,696/x
  3. Step 3: Cross multiply
    9,472.72x = 13,072.44 × 5,696
  4. Step 4: Simplify right side
    9,472.72x = 74,460,618.24
  5. Step 5: Solve for x
    x = 74,460,618.24/9,472.72
  6. Step 6: Final answer
    x = 7,860.53

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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.