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Finding the Fourth Proportional to 9,308.34, 13,962.16 and 2,288.37

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Solution

The fourth proportional to 9,308.34, 13,962.16 and 2,288.37 is: 3,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.34 : 13,962.16 = 2,288.37 : x
  2. Step 2: Convert to fraction form
    9,308.34/13,962.16 = 2,288.37/x
  3. Step 3: Cross multiply
    9,308.34x = 13,962.16 × 2,288.37
  4. Step 4: Simplify right side
    9,308.34x = 31,950,643.30
  5. Step 5: Solve for x
    x = 31,950,643.30/9,308.34
  6. Step 6: Final answer
    x = 3,432.47

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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.