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Finding the Fourth Proportional to 9,245.68, 13,875.20 and 3,700.57

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Solution

The fourth proportional to 9,245.68, 13,875.20 and 3,700.57 is: 5,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.68 : 13,875.20 = 3,700.57 : x
  2. Step 2: Convert to fraction form
    9,245.68/13,875.20 = 3,700.57/x
  3. Step 3: Cross multiply
    9,245.68x = 13,875.20 × 3,700.57
  4. Step 4: Simplify right side
    9,245.68x = 51,346,148.86
  5. Step 5: Solve for x
    x = 51,346,148.86/9,245.68
  6. Step 6: Final answer
    x = 5,553.53

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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.