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Finding the Fourth Proportional to 6,967.35, 10,454.43 and 3,457.69

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Solution

The fourth proportional to 6,967.35, 10,454.43 and 3,457.69 is: 5,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.35 : 10,454.43 = 3,457.69 : x
  2. Step 2: Convert to fraction form
    6,967.35/10,454.43 = 3,457.69/x
  3. Step 3: Cross multiply
    6,967.35x = 10,454.43 × 3,457.69
  4. Step 4: Simplify right side
    6,967.35x = 36,148,178.07
  5. Step 5: Solve for x
    x = 36,148,178.07/6,967.35
  6. Step 6: Final answer
    x = 5,188.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.