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Finding the Fourth Proportional to 9,134.46, 12,605.67 and 5,773.77

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Solution

The fourth proportional to 9,134.46, 12,605.67 and 5,773.77 is: 7,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.46 : 12,605.67 = 5,773.77 : x
  2. Step 2: Convert to fraction form
    9,134.46/12,605.67 = 5,773.77/x
  3. Step 3: Cross multiply
    9,134.46x = 12,605.67 × 5,773.77
  4. Step 4: Simplify right side
    9,134.46x = 72,782,239.28
  5. Step 5: Solve for x
    x = 72,782,239.28/9,134.46
  6. Step 6: Final answer
    x = 7,967.88

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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.