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Finding the Fourth Proportional to 6,703.74, 9,250.35 and 3,871.08

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Solution

The fourth proportional to 6,703.74, 9,250.35 and 3,871.08 is: 5,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.74 : 9,250.35 = 3,871.08 : x
  2. Step 2: Convert to fraction form
    6,703.74/9,250.35 = 3,871.08/x
  3. Step 3: Cross multiply
    6,703.74x = 9,250.35 × 3,871.08
  4. Step 4: Simplify right side
    6,703.74x = 35,808,844.88
  5. Step 5: Solve for x
    x = 35,808,844.88/6,703.74
  6. Step 6: Final answer
    x = 5,341.62

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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.