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Finding the Fourth Proportional to 6,885.81, 9,502.52 and 3,742.07

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Solution

The fourth proportional to 6,885.81, 9,502.52 and 3,742.07 is: 5,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.81 : 9,502.52 = 3,742.07 : x
  2. Step 2: Convert to fraction form
    6,885.81/9,502.52 = 3,742.07/x
  3. Step 3: Cross multiply
    6,885.81x = 9,502.52 × 3,742.07
  4. Step 4: Simplify right side
    6,885.81x = 35,559,028.79
  5. Step 5: Solve for x
    x = 35,559,028.79/6,885.81
  6. Step 6: Final answer
    x = 5,164.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.