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Finding the Fourth Proportional to 9,347.41, 12,899.25 and 5,098.48

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Solution

The fourth proportional to 9,347.41, 12,899.25 and 5,098.48 is: 7,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.41 : 12,899.25 = 5,098.48 : x
  2. Step 2: Convert to fraction form
    9,347.41/12,899.25 = 5,098.48/x
  3. Step 3: Cross multiply
    9,347.41x = 12,899.25 × 5,098.48
  4. Step 4: Simplify right side
    9,347.41x = 65,766,568.14
  5. Step 5: Solve for x
    x = 65,766,568.14/9,347.41
  6. Step 6: Final answer
    x = 7,035.81

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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.