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Finding the Fourth Proportional to 9,426.76, 14,159.82 and 9,099.24

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Solution

The fourth proportional to 9,426.76, 14,159.82 and 9,099.24 is: 13,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.76 : 14,159.82 = 9,099.24 : x
  2. Step 2: Convert to fraction form
    9,426.76/14,159.82 = 9,099.24/x
  3. Step 3: Cross multiply
    9,426.76x = 14,159.82 × 9,099.24
  4. Step 4: Simplify right side
    9,426.76x = 128,843,600.54
  5. Step 5: Solve for x
    x = 128,843,600.54/9,426.76
  6. Step 6: Final answer
    x = 13,667.86

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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.