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Finding the Fourth Proportional to 6,825, 9,417.90 and 3,841.08

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Solution

The fourth proportional to 6,825, 9,417.90 and 3,841.08 is: 5,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 9,417.90 = 3,841.08 : x
  2. Step 2: Convert to fraction form
    6,825/9,417.90 = 3,841.08/x
  3. Step 3: Cross multiply
    6,825x = 9,417.90 × 3,841.08
  4. Step 4: Simplify right side
    6,825x = 36,174,907.33
  5. Step 5: Solve for x
    x = 36,174,907.33/6,825
  6. Step 6: Final answer
    x = 5,300.35

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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.