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Finding the Fourth Proportional to 9,034.59, 13,551.93 and 3,191.20

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Solution

The fourth proportional to 9,034.59, 13,551.93 and 3,191.20 is: 4,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.59 : 13,551.93 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    9,034.59/13,551.93 = 3,191.20/x
  3. Step 3: Cross multiply
    9,034.59x = 13,551.93 × 3,191.20
  4. Step 4: Simplify right side
    9,034.59x = 43,246,894.11
  5. Step 5: Solve for x
    x = 43,246,894.11/9,034.59
  6. Step 6: Final answer
    x = 4,786.81

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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.