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Finding the Fourth Proportional to 8,974.20, 13,468.22 and 4,536.40

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Solution

The fourth proportional to 8,974.20, 13,468.22 and 4,536.40 is: 6,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.20 : 13,468.22 = 4,536.40 : x
  2. Step 2: Convert to fraction form
    8,974.20/13,468.22 = 4,536.40/x
  3. Step 3: Cross multiply
    8,974.20x = 13,468.22 × 4,536.40
  4. Step 4: Simplify right side
    8,974.20x = 61,097,233.21
  5. Step 5: Solve for x
    x = 61,097,233.21/8,974.20
  6. Step 6: Final answer
    x = 6,808.10

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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.