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Finding the Fourth Proportional to 9,912.74, 13,680 and 5,664.50

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Solution

The fourth proportional to 9,912.74, 13,680 and 5,664.50 is: 7,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.74 : 13,680 = 5,664.50 : x
  2. Step 2: Convert to fraction form
    9,912.74/13,680 = 5,664.50/x
  3. Step 3: Cross multiply
    9,912.74x = 13,680 × 5,664.50
  4. Step 4: Simplify right side
    9,912.74x = 77,490,360
  5. Step 5: Solve for x
    x = 77,490,360/9,912.74
  6. Step 6: Final answer
    x = 7,817.25

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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.