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Finding the Fourth Proportional to 11,456.92, 15,797.46 and 9,685.72

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Solution

The fourth proportional to 11,456.92, 15,797.46 and 9,685.72 is: 13,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.92 : 15,797.46 = 9,685.72 : x
  2. Step 2: Convert to fraction form
    11,456.92/15,797.46 = 9,685.72/x
  3. Step 3: Cross multiply
    11,456.92x = 15,797.46 × 9,685.72
  4. Step 4: Simplify right side
    11,456.92x = 153,009,774.27
  5. Step 5: Solve for x
    x = 153,009,774.27/11,456.92
  6. Step 6: Final answer
    x = 13,355.23

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