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Finding the Fourth Proportional to 9,186.42, 13,780.53 and 2,944.86

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Solution

The fourth proportional to 9,186.42, 13,780.53 and 2,944.86 is: 4,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.42 : 13,780.53 = 2,944.86 : x
  2. Step 2: Convert to fraction form
    9,186.42/13,780.53 = 2,944.86/x
  3. Step 3: Cross multiply
    9,186.42x = 13,780.53 × 2,944.86
  4. Step 4: Simplify right side
    9,186.42x = 40,581,731.58
  5. Step 5: Solve for x
    x = 40,581,731.58/9,186.42
  6. Step 6: Final answer
    x = 4,417.58

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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.