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Finding the Fourth Proportional to 6,817.19, 9,408.62 and 5,053.82

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Solution

The fourth proportional to 6,817.19, 9,408.62 and 5,053.82 is: 6,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.19 : 9,408.62 = 5,053.82 : x
  2. Step 2: Convert to fraction form
    6,817.19/9,408.62 = 5,053.82/x
  3. Step 3: Cross multiply
    6,817.19x = 9,408.62 × 5,053.82
  4. Step 4: Simplify right side
    6,817.19x = 47,549,437.52
  5. Step 5: Solve for x
    x = 47,549,437.52/6,817.19
  6. Step 6: Final answer
    x = 6,974.94

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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.