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Finding the Fourth Proportional to 9,656.98, 14,481.82 and 4,459.21

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Solution

The fourth proportional to 9,656.98, 14,481.82 and 4,459.21 is: 6,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.98 : 14,481.82 = 4,459.21 : x
  2. Step 2: Convert to fraction form
    9,656.98/14,481.82 = 4,459.21/x
  3. Step 3: Cross multiply
    9,656.98x = 14,481.82 × 4,459.21
  4. Step 4: Simplify right side
    9,656.98x = 64,577,381.86
  5. Step 5: Solve for x
    x = 64,577,381.86/9,656.98
  6. Step 6: Final answer
    x = 6,687.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.