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Finding the Fourth Proportional to 9,986.30, 14,983.70 and 3,749.30

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Solution

The fourth proportional to 9,986.30, 14,983.70 and 3,749.30 is: 5,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.30 : 14,983.70 = 3,749.30 : x
  2. Step 2: Convert to fraction form
    9,986.30/14,983.70 = 3,749.30/x
  3. Step 3: Cross multiply
    9,986.30x = 14,983.70 × 3,749.30
  4. Step 4: Simplify right side
    9,986.30x = 56,178,292.75
  5. Step 5: Solve for x
    x = 56,178,292.75/9,986.30
  6. Step 6: Final answer
    x = 5,625.54

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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.