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Finding the Fourth Proportional to 6,997.94, 9,654.01 and 4,607.28

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Solution

The fourth proportional to 6,997.94, 9,654.01 and 4,607.28 is: 6,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.94 : 9,654.01 = 4,607.28 : x
  2. Step 2: Convert to fraction form
    6,997.94/9,654.01 = 4,607.28/x
  3. Step 3: Cross multiply
    6,997.94x = 9,654.01 × 4,607.28
  4. Step 4: Simplify right side
    6,997.94x = 44,478,728.63
  5. Step 5: Solve for x
    x = 44,478,728.63/6,997.94
  6. Step 6: Final answer
    x = 6,355.97

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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.