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Finding the Fourth Proportional to 9,757.56, 14,690.35 and 6,699.64

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Solution

The fourth proportional to 9,757.56, 14,690.35 and 6,699.64 is: 10,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.56 : 14,690.35 = 6,699.64 : x
  2. Step 2: Convert to fraction form
    9,757.56/14,690.35 = 6,699.64/x
  3. Step 3: Cross multiply
    9,757.56x = 14,690.35 × 6,699.64
  4. Step 4: Simplify right side
    9,757.56x = 98,420,056.47
  5. Step 5: Solve for x
    x = 98,420,056.47/9,757.56
  6. Step 6: Final answer
    x = 10,086.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.