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Finding the Fourth Proportional to 9,234.46, 13,856.81 and 5,726.35

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Solution

The fourth proportional to 9,234.46, 13,856.81 and 5,726.35 is: 8,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.46 : 13,856.81 = 5,726.35 : x
  2. Step 2: Convert to fraction form
    9,234.46/13,856.81 = 5,726.35/x
  3. Step 3: Cross multiply
    9,234.46x = 13,856.81 × 5,726.35
  4. Step 4: Simplify right side
    9,234.46x = 79,348,932.63
  5. Step 5: Solve for x
    x = 79,348,932.63/9,234.46
  6. Step 6: Final answer
    x = 8,592.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.