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Finding the Fourth Proportional to 9,965.97, 14,948.93 and 2,946.07

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Solution

The fourth proportional to 9,965.97, 14,948.93 and 2,946.07 is: 4,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.97 : 14,948.93 = 2,946.07 : x
  2. Step 2: Convert to fraction form
    9,965.97/14,948.93 = 2,946.07/x
  3. Step 3: Cross multiply
    9,965.97x = 14,948.93 × 2,946.07
  4. Step 4: Simplify right side
    9,965.97x = 44,040,519.46
  5. Step 5: Solve for x
    x = 44,040,519.46/9,965.97
  6. Step 6: Final answer
    x = 4,419.09

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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.