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Finding the Fourth Proportional to 9,472.91, 13,073.06 and 5,696.28

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Solution

The fourth proportional to 9,472.91, 13,073.06 and 5,696.28 is: 7,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.91 : 13,073.06 = 5,696.28 : x
  2. Step 2: Convert to fraction form
    9,472.91/13,073.06 = 5,696.28/x
  3. Step 3: Cross multiply
    9,472.91x = 13,073.06 × 5,696.28
  4. Step 4: Simplify right side
    9,472.91x = 74,467,824.46
  5. Step 5: Solve for x
    x = 74,467,824.46/9,472.91
  6. Step 6: Final answer
    x = 7,861.14

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1.5x scale

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.