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Finding the Fourth Proportional to 6,707.81, 9,256.97 and 3,683.07

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Solution

The fourth proportional to 6,707.81, 9,256.97 and 3,683.07 is: 5,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.81 : 9,256.97 = 3,683.07 : x
  2. Step 2: Convert to fraction form
    6,707.81/9,256.97 = 3,683.07/x
  3. Step 3: Cross multiply
    6,707.81x = 9,256.97 × 3,683.07
  4. Step 4: Simplify right side
    6,707.81x = 34,094,050.08
  5. Step 5: Solve for x
    x = 34,094,050.08/6,707.81
  6. Step 6: Final answer
    x = 5,082.74

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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.