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Finding the Fourth Proportional to 9,386.44, 12,953.69 and 5,194.69

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Solution

The fourth proportional to 9,386.44, 12,953.69 and 5,194.69 is: 7,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.44 : 12,953.69 = 5,194.69 : x
  2. Step 2: Convert to fraction form
    9,386.44/12,953.69 = 5,194.69/x
  3. Step 3: Cross multiply
    9,386.44x = 12,953.69 × 5,194.69
  4. Step 4: Simplify right side
    9,386.44x = 67,290,403.91
  5. Step 5: Solve for x
    x = 67,290,403.91/9,386.44
  6. Step 6: Final answer
    x = 7,168.90

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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.