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Finding the Fourth Proportional to 9,502.13, 13,114.74 and 6,266.25

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Solution

The fourth proportional to 9,502.13, 13,114.74 and 6,266.25 is: 8,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.13 : 13,114.74 = 6,266.25 : x
  2. Step 2: Convert to fraction form
    9,502.13/13,114.74 = 6,266.25/x
  3. Step 3: Cross multiply
    9,502.13x = 13,114.74 × 6,266.25
  4. Step 4: Simplify right side
    9,502.13x = 82,180,239.53
  5. Step 5: Solve for x
    x = 82,180,239.53/9,502.13
  6. Step 6: Final answer
    x = 8,648.61

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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.