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Finding the Fourth Proportional to 9,968.68, 14,949.52 and 2,946.82

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Solution

The fourth proportional to 9,968.68, 14,949.52 and 2,946.82 is: 4,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.68 : 14,949.52 = 2,946.82 : x
  2. Step 2: Convert to fraction form
    9,968.68/14,949.52 = 2,946.82/x
  3. Step 3: Cross multiply
    9,968.68x = 14,949.52 × 2,946.82
  4. Step 4: Simplify right side
    9,968.68x = 44,053,544.53
  5. Step 5: Solve for x
    x = 44,053,544.53/9,968.68
  6. Step 6: Final answer
    x = 4,419.20

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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.