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Finding the Fourth Proportional to 9,355.69, 14,026.09 and 5,402.46

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Solution

The fourth proportional to 9,355.69, 14,026.09 and 5,402.46 is: 8,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.69 : 14,026.09 = 5,402.46 : x
  2. Step 2: Convert to fraction form
    9,355.69/14,026.09 = 5,402.46/x
  3. Step 3: Cross multiply
    9,355.69x = 14,026.09 × 5,402.46
  4. Step 4: Simplify right side
    9,355.69x = 75,775,424.21
  5. Step 5: Solve for x
    x = 75,775,424.21/9,355.69
  6. Step 6: Final answer
    x = 8,099.39

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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.