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Finding the Fourth Proportional to 9,062.12, 12,505.70 and 5,083.22

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Solution

The fourth proportional to 9,062.12, 12,505.70 and 5,083.22 is: 7,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.12 : 12,505.70 = 5,083.22 : x
  2. Step 2: Convert to fraction form
    9,062.12/12,505.70 = 5,083.22/x
  3. Step 3: Cross multiply
    9,062.12x = 12,505.70 × 5,083.22
  4. Step 4: Simplify right side
    9,062.12x = 63,569,136.41
  5. Step 5: Solve for x
    x = 63,569,136.41/9,062.12
  6. Step 6: Final answer
    x = 7,014.82

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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.