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Finding the Fourth Proportional to 9,828.69, 14,742.22 and 3,252.70

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Solution

The fourth proportional to 9,828.69, 14,742.22 and 3,252.70 is: 4,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.69 : 14,742.22 = 3,252.70 : x
  2. Step 2: Convert to fraction form
    9,828.69/14,742.22 = 3,252.70/x
  3. Step 3: Cross multiply
    9,828.69x = 14,742.22 × 3,252.70
  4. Step 4: Simplify right side
    9,828.69x = 47,952,018.99
  5. Step 5: Solve for x
    x = 47,952,018.99/9,828.69
  6. Step 6: Final answer
    x = 4,878.78

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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.