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Finding the Fourth Proportional to 6,181.78, 9,275.04 and 3,718.35

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Solution

The fourth proportional to 6,181.78, 9,275.04 and 3,718.35 is: 5,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.78 : 9,275.04 = 3,718.35 : x
  2. Step 2: Convert to fraction form
    6,181.78/9,275.04 = 3,718.35/x
  3. Step 3: Cross multiply
    6,181.78x = 9,275.04 × 3,718.35
  4. Step 4: Simplify right side
    6,181.78x = 34,487,798.61
  5. Step 5: Solve for x
    x = 34,487,798.61/6,181.78
  6. Step 6: Final answer
    x = 5,578.94

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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.