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Finding the Fourth Proportional to 9,403.68, 14,106.78 and 2,829

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Solution

The fourth proportional to 9,403.68, 14,106.78 and 2,829 is: 4,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.68 : 14,106.78 = 2,829 : x
  2. Step 2: Convert to fraction form
    9,403.68/14,106.78 = 2,829/x
  3. Step 3: Cross multiply
    9,403.68x = 14,106.78 × 2,829
  4. Step 4: Simplify right side
    9,403.68x = 39,908,080.62
  5. Step 5: Solve for x
    x = 39,908,080.62/9,403.68
  6. Step 6: Final answer
    x = 4,243.88

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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.