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Finding the Fourth Proportional to 6,135.49, 9,196.62 and 3,011.86

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Solution

The fourth proportional to 6,135.49, 9,196.62 and 3,011.86 is: 4,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.49 : 9,196.62 = 3,011.86 : x
  2. Step 2: Convert to fraction form
    6,135.49/9,196.62 = 3,011.86/x
  3. Step 3: Cross multiply
    6,135.49x = 9,196.62 × 3,011.86
  4. Step 4: Simplify right side
    6,135.49x = 27,698,931.91
  5. Step 5: Solve for x
    x = 27,698,931.91/6,135.49
  6. Step 6: Final answer
    x = 4,514.54

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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.