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Finding the Fourth Proportional to 6,984.24, 9,638.04 and 4,465.20

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Solution

The fourth proportional to 6,984.24, 9,638.04 and 4,465.20 is: 6,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.24 : 9,638.04 = 4,465.20 : x
  2. Step 2: Convert to fraction form
    6,984.24/9,638.04 = 4,465.20/x
  3. Step 3: Cross multiply
    6,984.24x = 9,638.04 × 4,465.20
  4. Step 4: Simplify right side
    6,984.24x = 43,035,776.21
  5. Step 5: Solve for x
    x = 43,035,776.21/6,984.24
  6. Step 6: Final answer
    x = 6,161.84

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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.