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Finding the Fourth Proportional to 9,802.89, 14,706.54 and 3,228.84

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Solution

The fourth proportional to 9,802.89, 14,706.54 and 3,228.84 is: 4,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.89 : 14,706.54 = 3,228.84 : x
  2. Step 2: Convert to fraction form
    9,802.89/14,706.54 = 3,228.84/x
  3. Step 3: Cross multiply
    9,802.89x = 14,706.54 × 3,228.84
  4. Step 4: Simplify right side
    9,802.89x = 47,485,064.61
  5. Step 5: Solve for x
    x = 47,485,064.61/9,802.89
  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.