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Finding the Fourth Proportional to 9,297.04, 12,828.72 and 5,105.20

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Solution

The fourth proportional to 9,297.04, 12,828.72 and 5,105.20 is: 7,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.04 : 12,828.72 = 5,105.20 : x
  2. Step 2: Convert to fraction form
    9,297.04/12,828.72 = 5,105.20/x
  3. Step 3: Cross multiply
    9,297.04x = 12,828.72 × 5,105.20
  4. Step 4: Simplify right side
    9,297.04x = 65,493,181.34
  5. Step 5: Solve for x
    x = 65,493,181.34/9,297.04
  6. Step 6: Final answer
    x = 7,044.52

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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.