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Finding the Fourth Proportional to 6,810.15, 9,394.78 and 5,826

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Solution

The fourth proportional to 6,810.15, 9,394.78 and 5,826 is: 8,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.15 : 9,394.78 = 5,826 : x
  2. Step 2: Convert to fraction form
    6,810.15/9,394.78 = 5,826/x
  3. Step 3: Cross multiply
    6,810.15x = 9,394.78 × 5,826
  4. Step 4: Simplify right side
    6,810.15x = 54,733,988.28
  5. Step 5: Solve for x
    x = 54,733,988.28/6,810.15
  6. Step 6: Final answer
    x = 8,037.12

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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.