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Finding the Fourth Proportional to 9,403.68, 14,105.54 and 3,856.03

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Solution

The fourth proportional to 9,403.68, 14,105.54 and 3,856.03 is: 5,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.68 : 14,105.54 = 3,856.03 : x
  2. Step 2: Convert to fraction form
    9,403.68/14,105.54 = 3,856.03/x
  3. Step 3: Cross multiply
    9,403.68x = 14,105.54 × 3,856.03
  4. Step 4: Simplify right side
    9,403.68x = 54,391,385.41
  5. Step 5: Solve for x
    x = 54,391,385.41/9,403.68
  6. Step 6: Final answer
    x = 5,784.05

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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.