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Finding the Fourth Proportional to 9,237.48, 13,856.22 and 6,137.52

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Solution

The fourth proportional to 9,237.48, 13,856.22 and 6,137.52 is: 9,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.48 : 13,856.22 = 6,137.52 : x
  2. Step 2: Convert to fraction form
    9,237.48/13,856.22 = 6,137.52/x
  3. Step 3: Cross multiply
    9,237.48x = 13,856.22 × 6,137.52
  4. Step 4: Simplify right side
    9,237.48x = 85,042,827.37
  5. Step 5: Solve for x
    x = 85,042,827.37/9,237.48
  6. Step 6: Final answer
    x = 9,206.28

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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.