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Finding the Fourth Proportional to 10,237.72, 14,134.08 and 9,647.23

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Solution

The fourth proportional to 10,237.72, 14,134.08 and 9,647.23 is: 13,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.72 : 14,134.08 = 9,647.23 : x
  2. Step 2: Convert to fraction form
    10,237.72/14,134.08 = 9,647.23/x
  3. Step 3: Cross multiply
    10,237.72x = 14,134.08 × 9,647.23
  4. Step 4: Simplify right side
    10,237.72x = 136,354,720.60
  5. Step 5: Solve for x
    x = 136,354,720.60/10,237.72
  6. Step 6: Final answer
    x = 13,318.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.