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Finding the Fourth Proportional to 9,235.90, 13,856.37 and 2,996.20

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Solution

The fourth proportional to 9,235.90, 13,856.37 and 2,996.20 is: 4,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.90 : 13,856.37 = 2,996.20 : x
  2. Step 2: Convert to fraction form
    9,235.90/13,856.37 = 2,996.20/x
  3. Step 3: Cross multiply
    9,235.90x = 13,856.37 × 2,996.20
  4. Step 4: Simplify right side
    9,235.90x = 41,516,455.79
  5. Step 5: Solve for x
    x = 41,516,455.79/9,235.90
  6. Step 6: Final answer
    x = 4,495.12

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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.