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Finding the Fourth Proportional to 9,956.34, 14,929.83 and 6,836.82

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Solution

The fourth proportional to 9,956.34, 14,929.83 and 6,836.82 is: 10,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.34 : 14,929.83 = 6,836.82 : x
  2. Step 2: Convert to fraction form
    9,956.34/14,929.83 = 6,836.82/x
  3. Step 3: Cross multiply
    9,956.34x = 14,929.83 × 6,836.82
  4. Step 4: Simplify right side
    9,956.34x = 102,072,560.34
  5. Step 5: Solve for x
    x = 102,072,560.34/9,956.34
  6. Step 6: Final answer
    x = 10,252.02

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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.