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Finding the Fourth Proportional to 9,929.34, 14,896.14 and 3,355.20

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Solution

The fourth proportional to 9,929.34, 14,896.14 and 3,355.20 is: 5,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.34 : 14,896.14 = 3,355.20 : x
  2. Step 2: Convert to fraction form
    9,929.34/14,896.14 = 3,355.20/x
  3. Step 3: Cross multiply
    9,929.34x = 14,896.14 × 3,355.20
  4. Step 4: Simplify right side
    9,929.34x = 49,979,528.93
  5. Step 5: Solve for x
    x = 49,979,528.93/9,929.34
  6. Step 6: Final answer
    x = 5,033.52

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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.