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Finding the Fourth Proportional to 9,802.24, 14,704.32 and 3,228.48

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Solution

The fourth proportional to 9,802.24, 14,704.32 and 3,228.48 is: 4,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.24 : 14,704.32 = 3,228.48 : x
  2. Step 2: Convert to fraction form
    9,802.24/14,704.32 = 3,228.48/x
  3. Step 3: Cross multiply
    9,802.24x = 14,704.32 × 3,228.48
  4. Step 4: Simplify right side
    9,802.24x = 47,472,603.03
  5. Step 5: Solve for x
    x = 47,472,603.03/9,802.24
  6. Step 6: Final answer
    x = 4,843.04

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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.