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Finding the Fourth Proportional to 9,026.75, 12,457.07 and 5,047.42

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Solution

The fourth proportional to 9,026.75, 12,457.07 and 5,047.42 is: 6,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.75 : 12,457.07 = 5,047.42 : x
  2. Step 2: Convert to fraction form
    9,026.75/12,457.07 = 5,047.42/x
  3. Step 3: Cross multiply
    9,026.75x = 12,457.07 × 5,047.42
  4. Step 4: Simplify right side
    9,026.75x = 62,876,064.26
  5. Step 5: Solve for x
    x = 62,876,064.26/9,026.75
  6. Step 6: Final answer
    x = 6,965.53

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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.