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Finding the Fourth Proportional to 9,012.48, 13,519.20 and 2,856

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Solution

The fourth proportional to 9,012.48, 13,519.20 and 2,856 is: 4,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.48 : 13,519.20 = 2,856 : x
  2. Step 2: Convert to fraction form
    9,012.48/13,519.20 = 2,856/x
  3. Step 3: Cross multiply
    9,012.48x = 13,519.20 × 2,856
  4. Step 4: Simplify right side
    9,012.48x = 38,610,835.20
  5. Step 5: Solve for x
    x = 38,610,835.20/9,012.48
  6. Step 6: Final answer
    x = 4,284.15

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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.