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Finding the Fourth Proportional to 9,056.25, 12,497.63 and 5,912.46

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Solution

The fourth proportional to 9,056.25, 12,497.63 and 5,912.46 is: 8,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.25 : 12,497.63 = 5,912.46 : x
  2. Step 2: Convert to fraction form
    9,056.25/12,497.63 = 5,912.46/x
  3. Step 3: Cross multiply
    9,056.25x = 12,497.63 × 5,912.46
  4. Step 4: Simplify right side
    9,056.25x = 73,891,707.91
  5. Step 5: Solve for x
    x = 73,891,707.91/9,056.25
  6. Step 6: Final answer
    x = 8,159.19

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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.