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Finding the Fourth Proportional to 9,234.58, 13,864.18 and 7,856.78

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Solution

The fourth proportional to 9,234.58, 13,864.18 and 7,856.78 is: 11,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.58 : 13,864.18 = 7,856.78 : x
  2. Step 2: Convert to fraction form
    9,234.58/13,864.18 = 7,856.78/x
  3. Step 3: Cross multiply
    9,234.58x = 13,864.18 × 7,856.78
  4. Step 4: Simplify right side
    9,234.58x = 108,927,812.14
  5. Step 5: Solve for x
    x = 108,927,812.14/9,234.58
  6. Step 6: Final answer
    x = 11,795.64

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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.