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Finding the Fourth Proportional to 9,797.43, 14,696.14 and 6,888.72

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Solution

The fourth proportional to 9,797.43, 14,696.14 and 6,888.72 is: 10,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.43 : 14,696.14 = 6,888.72 : x
  2. Step 2: Convert to fraction form
    9,797.43/14,696.14 = 6,888.72/x
  3. Step 3: Cross multiply
    9,797.43x = 14,696.14 × 6,888.72
  4. Step 4: Simplify right side
    9,797.43x = 101,237,502.84
  5. Step 5: Solve for x
    x = 101,237,502.84/9,797.43
  6. Step 6: Final answer
    x = 10,333.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.