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Finding the Fourth Proportional to 9,773.70, 14,664.87 and 3,941.70

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Solution

The fourth proportional to 9,773.70, 14,664.87 and 3,941.70 is: 5,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.70 : 14,664.87 = 3,941.70 : x
  2. Step 2: Convert to fraction form
    9,773.70/14,664.87 = 3,941.70/x
  3. Step 3: Cross multiply
    9,773.70x = 14,664.87 × 3,941.70
  4. Step 4: Simplify right side
    9,773.70x = 57,804,518.08
  5. Step 5: Solve for x
    x = 57,804,518.08/9,773.70
  6. Step 6: Final answer
    x = 5,914.29

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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.