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Finding the Fourth Proportional to 6,703.29, 9,250.50 and 3,870.62

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Solution

The fourth proportional to 6,703.29, 9,250.50 and 3,870.62 is: 5,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.29 : 9,250.50 = 3,870.62 : x
  2. Step 2: Convert to fraction form
    6,703.29/9,250.50 = 3,870.62/x
  3. Step 3: Cross multiply
    6,703.29x = 9,250.50 × 3,870.62
  4. Step 4: Simplify right side
    6,703.29x = 35,805,173.26
  5. Step 5: Solve for x
    x = 35,805,173.26/6,703.29
  6. Step 6: Final answer
    x = 5,341.43

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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.