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Finding the Fourth Proportional to 9,929.52, 14,896.11 and 3,266.40

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Solution

The fourth proportional to 9,929.52, 14,896.11 and 3,266.40 is: 4,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.52 : 14,896.11 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    9,929.52/14,896.11 = 3,266.40/x
  3. Step 3: Cross multiply
    9,929.52x = 14,896.11 × 3,266.40
  4. Step 4: Simplify right side
    9,929.52x = 48,656,653.70
  5. Step 5: Solve for x
    x = 48,656,653.70/9,929.52
  6. Step 6: Final answer
    x = 4,900.20

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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.