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Finding the Fourth Proportional to 9,120.94, 12,586.86 and 5,534.66

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Solution

The fourth proportional to 9,120.94, 12,586.86 and 5,534.66 is: 7,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.94 : 12,586.86 = 5,534.66 : x
  2. Step 2: Convert to fraction form
    9,120.94/12,586.86 = 5,534.66/x
  3. Step 3: Cross multiply
    9,120.94x = 12,586.86 × 5,534.66
  4. Step 4: Simplify right side
    9,120.94x = 69,664,022.03
  5. Step 5: Solve for x
    x = 69,664,022.03/9,120.94
  6. Step 6: Final answer
    x = 7,637.81

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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.