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Finding the Fourth Proportional to 9,186.56, 13,780.74 and 3,639.68

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Solution

The fourth proportional to 9,186.56, 13,780.74 and 3,639.68 is: 5,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.56 : 13,780.74 = 3,639.68 : x
  2. Step 2: Convert to fraction form
    9,186.56/13,780.74 = 3,639.68/x
  3. Step 3: Cross multiply
    9,186.56x = 13,780.74 × 3,639.68
  4. Step 4: Simplify right side
    9,186.56x = 50,157,483.76
  5. Step 5: Solve for x
    x = 50,157,483.76/9,186.56
  6. Step 6: Final answer
    x = 5,459.88

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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.