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Finding the Fourth Proportional to 6,986.96, 9,645.99 and 4,632.29

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Solution

The fourth proportional to 6,986.96, 9,645.99 and 4,632.29 is: 6,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.96 : 9,645.99 = 4,632.29 : x
  2. Step 2: Convert to fraction form
    6,986.96/9,645.99 = 4,632.29/x
  3. Step 3: Cross multiply
    6,986.96x = 9,645.99 × 4,632.29
  4. Step 4: Simplify right side
    6,986.96x = 44,683,023.02
  5. Step 5: Solve for x
    x = 44,683,023.02/6,986.96
  6. Step 6: Final answer
    x = 6,395.20

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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.