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Finding the Fourth Proportional to 9,802.31, 14,705.48 and 3,228.89

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Solution

The fourth proportional to 9,802.31, 14,705.48 and 3,228.89 is: 4,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.31 : 14,705.48 = 3,228.89 : x
  2. Step 2: Convert to fraction form
    9,802.31/14,705.48 = 3,228.89/x
  3. Step 3: Cross multiply
    9,802.31x = 14,705.48 × 3,228.89
  4. Step 4: Simplify right side
    9,802.31x = 47,482,311.86
  5. Step 5: Solve for x
    x = 47,482,311.86/9,802.31
  6. Step 6: Final answer
    x = 4,843.99

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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.