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Finding the Fourth Proportional to 6,997.55, 9,657.02 and 4,638.02

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Solution

The fourth proportional to 6,997.55, 9,657.02 and 4,638.02 is: 6,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.55 : 9,657.02 = 4,638.02 : x
  2. Step 2: Convert to fraction form
    6,997.55/9,657.02 = 4,638.02/x
  3. Step 3: Cross multiply
    6,997.55x = 9,657.02 × 4,638.02
  4. Step 4: Simplify right side
    6,997.55x = 44,789,487.64
  5. Step 5: Solve for x
    x = 44,789,487.64/6,997.55
  6. Step 6: Final answer
    x = 6,400.74

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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.