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Finding the Fourth Proportional to 9,836.56, 14,725.68 and 5,929.12

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Solution

The fourth proportional to 9,836.56, 14,725.68 and 5,929.12 is: 8,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.56 : 14,725.68 = 5,929.12 : x
  2. Step 2: Convert to fraction form
    9,836.56/14,725.68 = 5,929.12/x
  3. Step 3: Cross multiply
    9,836.56x = 14,725.68 × 5,929.12
  4. Step 4: Simplify right side
    9,836.56x = 87,310,323.80
  5. Step 5: Solve for x
    x = 87,310,323.80/9,836.56
  6. Step 6: Final answer
    x = 8,876.10

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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.