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Finding the Fourth Proportional to 6,986.04, 9,638.39 and 4,744.03

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Solution

The fourth proportional to 6,986.04, 9,638.39 and 4,744.03 is: 6,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.04 : 9,638.39 = 4,744.03 : x
  2. Step 2: Convert to fraction form
    6,986.04/9,638.39 = 4,744.03/x
  3. Step 3: Cross multiply
    6,986.04x = 9,638.39 × 4,744.03
  4. Step 4: Simplify right side
    6,986.04x = 45,724,739.40
  5. Step 5: Solve for x
    x = 45,724,739.40/6,986.04
  6. Step 6: Final answer
    x = 6,545.16

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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.