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Finding the Fourth Proportional to 9,403.74, 14,107.95 and 2,829.78

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Solution

The fourth proportional to 9,403.74, 14,107.95 and 2,829.78 is: 4,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.74 : 14,107.95 = 2,829.78 : x
  2. Step 2: Convert to fraction form
    9,403.74/14,107.95 = 2,829.78/x
  3. Step 3: Cross multiply
    9,403.74x = 14,107.95 × 2,829.78
  4. Step 4: Simplify right side
    9,403.74x = 39,922,394.75
  5. Step 5: Solve for x
    x = 39,922,394.75/9,403.74
  6. Step 6: Final answer
    x = 4,245.37

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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.