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Finding the Fourth Proportional to 9,462.39, 14,188.17 and 2,886.63

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Solution

The fourth proportional to 9,462.39, 14,188.17 and 2,886.63 is: 4,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.39 : 14,188.17 = 2,886.63 : x
  2. Step 2: Convert to fraction form
    9,462.39/14,188.17 = 2,886.63/x
  3. Step 3: Cross multiply
    9,462.39x = 14,188.17 × 2,886.63
  4. Step 4: Simplify right side
    9,462.39x = 40,955,997.17
  5. Step 5: Solve for x
    x = 40,955,997.17/9,462.39
  6. Step 6: Final answer
    x = 4,328.29

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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.