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Finding the Fourth Proportional to 9,028.26, 12,457.14 and 6,514.12

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Solution

The fourth proportional to 9,028.26, 12,457.14 and 6,514.12 is: 8,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.26 : 12,457.14 = 6,514.12 : x
  2. Step 2: Convert to fraction form
    9,028.26/12,457.14 = 6,514.12/x
  3. Step 3: Cross multiply
    9,028.26x = 12,457.14 × 6,514.12
  4. Step 4: Simplify right side
    9,028.26x = 81,147,332.60
  5. Step 5: Solve for x
    x = 81,147,332.60/9,028.26
  6. Step 6: Final answer
    x = 8,988.15

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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.