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Finding the Fourth Proportional to 9,802.14, 14,705.42 and 3,228.09

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Solution

The fourth proportional to 9,802.14, 14,705.42 and 3,228.09 is: 4,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.14 : 14,705.42 = 3,228.09 : x
  2. Step 2: Convert to fraction form
    9,802.14/14,705.42 = 3,228.09/x
  3. Step 3: Cross multiply
    9,802.14x = 14,705.42 × 3,228.09
  4. Step 4: Simplify right side
    9,802.14x = 47,470,403.11
  5. Step 5: Solve for x
    x = 47,470,403.11/9,802.14
  6. Step 6: Final answer
    x = 4,842.86

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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.