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Finding the Fourth Proportional to 9,954.68, 14,934.18 and 3,029

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Solution

The fourth proportional to 9,954.68, 14,934.18 and 3,029 is: 4,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.68 : 14,934.18 = 3,029 : x
  2. Step 2: Convert to fraction form
    9,954.68/14,934.18 = 3,029/x
  3. Step 3: Cross multiply
    9,954.68x = 14,934.18 × 3,029
  4. Step 4: Simplify right side
    9,954.68x = 45,235,631.22
  5. Step 5: Solve for x
    x = 45,235,631.22/9,954.68
  6. Step 6: Final answer
    x = 4,544.16

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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.