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Finding the Fourth Proportional to 9,797.94, 13,521.16 and 5,606.18

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Solution

The fourth proportional to 9,797.94, 13,521.16 and 5,606.18 is: 7,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.94 : 13,521.16 = 5,606.18 : x
  2. Step 2: Convert to fraction form
    9,797.94/13,521.16 = 5,606.18/x
  3. Step 3: Cross multiply
    9,797.94x = 13,521.16 × 5,606.18
  4. Step 4: Simplify right side
    9,797.94x = 75,802,056.77
  5. Step 5: Solve for x
    x = 75,802,056.77/9,797.94
  6. Step 6: Final answer
    x = 7,736.53

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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.