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Finding the Fourth Proportional to 6,973.70, 9,623.86 and 3,989.81

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Solution

The fourth proportional to 6,973.70, 9,623.86 and 3,989.81 is: 5,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.70 : 9,623.86 = 3,989.81 : x
  2. Step 2: Convert to fraction form
    6,973.70/9,623.86 = 3,989.81/x
  3. Step 3: Cross multiply
    6,973.70x = 9,623.86 × 3,989.81
  4. Step 4: Simplify right side
    6,973.70x = 38,397,355.26
  5. Step 5: Solve for x
    x = 38,397,355.26/6,973.70
  6. Step 6: Final answer
    x = 5,506.03

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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.