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Finding the Fourth Proportional to 9,605.32, 13,256.46 and 5,414.32

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Solution

The fourth proportional to 9,605.32, 13,256.46 and 5,414.32 is: 7,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.32 : 13,256.46 = 5,414.32 : x
  2. Step 2: Convert to fraction form
    9,605.32/13,256.46 = 5,414.32/x
  3. Step 3: Cross multiply
    9,605.32x = 13,256.46 × 5,414.32
  4. Step 4: Simplify right side
    9,605.32x = 71,774,716.51
  5. Step 5: Solve for x
    x = 71,774,716.51/9,605.32
  6. Step 6: Final answer
    x = 7,472.39

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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.