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Finding the Fourth Proportional to 6,120.47, 9,181.74 and 2,117.68

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Solution

The fourth proportional to 6,120.47, 9,181.74 and 2,117.68 is: 3,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.47 : 9,181.74 = 2,117.68 : x
  2. Step 2: Convert to fraction form
    6,120.47/9,181.74 = 2,117.68/x
  3. Step 3: Cross multiply
    6,120.47x = 9,181.74 × 2,117.68
  4. Step 4: Simplify right side
    6,120.47x = 19,443,941.25
  5. Step 5: Solve for x
    x = 19,443,941.25/6,120.47
  6. Step 6: Final answer
    x = 3,176.87

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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.