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Finding the Fourth Proportional to 9,726.32, 13,411.28 and 8,456.24

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Solution

The fourth proportional to 9,726.32, 13,411.28 and 8,456.24 is: 11,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.32 : 13,411.28 = 8,456.24 : x
  2. Step 2: Convert to fraction form
    9,726.32/13,411.28 = 8,456.24/x
  3. Step 3: Cross multiply
    9,726.32x = 13,411.28 × 8,456.24
  4. Step 4: Simplify right side
    9,726.32x = 113,408,956.47
  5. Step 5: Solve for x
    x = 113,408,956.47/9,726.32
  6. Step 6: Final answer
    x = 11,660.01

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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.