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Finding the Fourth Proportional to 9,644.88, 14,460.03 and 7,696.02

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Solution

The fourth proportional to 9,644.88, 14,460.03 and 7,696.02 is: 11,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.88 : 14,460.03 = 7,696.02 : x
  2. Step 2: Convert to fraction form
    9,644.88/14,460.03 = 7,696.02/x
  3. Step 3: Cross multiply
    9,644.88x = 14,460.03 × 7,696.02
  4. Step 4: Simplify right side
    9,644.88x = 111,284,680.08
  5. Step 5: Solve for x
    x = 111,284,680.08/9,644.88
  6. Step 6: Final answer
    x = 11,538.21

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Why These Related Problems?

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