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Finding the Fourth Proportional to 9,158.69, 13,740.77 and 6,495.41

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Solution

The fourth proportional to 9,158.69, 13,740.77 and 6,495.41 is: 9,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.69 : 13,740.77 = 6,495.41 : x
  2. Step 2: Convert to fraction form
    9,158.69/13,740.77 = 6,495.41/x
  3. Step 3: Cross multiply
    9,158.69x = 13,740.77 × 6,495.41
  4. Step 4: Simplify right side
    9,158.69x = 89,251,866.16
  5. Step 5: Solve for x
    x = 89,251,866.16/9,158.69
  6. Step 6: Final answer
    x = 9,745.05

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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.