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Finding the Fourth Proportional to 6,853.36, 9,457.64 and 3,709.55

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Solution

The fourth proportional to 6,853.36, 9,457.64 and 3,709.55 is: 5,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.36 : 9,457.64 = 3,709.55 : x
  2. Step 2: Convert to fraction form
    6,853.36/9,457.64 = 3,709.55/x
  3. Step 3: Cross multiply
    6,853.36x = 9,457.64 × 3,709.55
  4. Step 4: Simplify right side
    6,853.36x = 35,083,543.84
  5. Step 5: Solve for x
    x = 35,083,543.84/6,853.36
  6. Step 6: Final answer
    x = 5,119.17

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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.