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Finding the Fourth Proportional to 6,998.08, 9,656 and 4,638.96

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Solution

The fourth proportional to 6,998.08, 9,656 and 4,638.96 is: 6,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.08 : 9,656 = 4,638.96 : x
  2. Step 2: Convert to fraction form
    6,998.08/9,656 = 4,638.96/x
  3. Step 3: Cross multiply
    6,998.08x = 9,656 × 4,638.96
  4. Step 4: Simplify right side
    6,998.08x = 44,793,797.76
  5. Step 5: Solve for x
    x = 44,793,797.76/6,998.08
  6. Step 6: Final answer
    x = 6,400.87

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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.