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Finding the Fourth Proportional to 9,095.34, 13,642.92 and 4,163.58

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Solution

The fourth proportional to 9,095.34, 13,642.92 and 4,163.58 is: 6,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.34 : 13,642.92 = 4,163.58 : x
  2. Step 2: Convert to fraction form
    9,095.34/13,642.92 = 4,163.58/x
  3. Step 3: Cross multiply
    9,095.34x = 13,642.92 × 4,163.58
  4. Step 4: Simplify right side
    9,095.34x = 56,803,388.85
  5. Step 5: Solve for x
    x = 56,803,388.85/9,095.34
  6. Step 6: Final answer
    x = 6,245.33

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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.