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Finding the Fourth Proportional to 9,445.68, 13,034.98 and 5,197

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Solution

The fourth proportional to 9,445.68, 13,034.98 and 5,197 is: 7,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.68 : 13,034.98 = 5,197 : x
  2. Step 2: Convert to fraction form
    9,445.68/13,034.98 = 5,197/x
  3. Step 3: Cross multiply
    9,445.68x = 13,034.98 × 5,197
  4. Step 4: Simplify right side
    9,445.68x = 67,742,791.06
  5. Step 5: Solve for x
    x = 67,742,791.06/9,445.68
  6. Step 6: Final answer
    x = 7,171.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.