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Finding the Fourth Proportional to 9,365.46, 12,920.22 and 6,174.66

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Solution

The fourth proportional to 9,365.46, 12,920.22 and 6,174.66 is: 8,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.46 : 12,920.22 = 6,174.66 : x
  2. Step 2: Convert to fraction form
    9,365.46/12,920.22 = 6,174.66/x
  3. Step 3: Cross multiply
    9,365.46x = 12,920.22 × 6,174.66
  4. Step 4: Simplify right side
    9,365.46x = 79,777,965.63
  5. Step 5: Solve for x
    x = 79,777,965.63/9,365.46
  6. Step 6: Final answer
    x = 8,518.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.