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Finding the Fourth Proportional to 7,181.04, 9,898.56 and 6,578.40

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Solution

The fourth proportional to 7,181.04, 9,898.56 and 6,578.40 is: 9,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.04 : 9,898.56 = 6,578.40 : x
  2. Step 2: Convert to fraction form
    7,181.04/9,898.56 = 6,578.40/x
  3. Step 3: Cross multiply
    7,181.04x = 9,898.56 × 6,578.40
  4. Step 4: Simplify right side
    7,181.04x = 65,116,687.10
  5. Step 5: Solve for x
    x = 65,116,687.10/7,181.04
  6. Step 6: Final answer
    x = 9,067.86

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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.