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Finding the Fourth Proportional to 9,773.82, 14,655.25 and 4,223.70

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Solution

The fourth proportional to 9,773.82, 14,655.25 and 4,223.70 is: 6,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.82 : 14,655.25 = 4,223.70 : x
  2. Step 2: Convert to fraction form
    9,773.82/14,655.25 = 4,223.70/x
  3. Step 3: Cross multiply
    9,773.82x = 14,655.25 × 4,223.70
  4. Step 4: Simplify right side
    9,773.82x = 61,899,379.43
  5. Step 5: Solve for x
    x = 61,899,379.43/9,773.82
  6. Step 6: Final answer
    x = 6,333.18

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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.