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Finding the Fourth Proportional to 9,716.34, 14,573.28 and 2,696.88

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Solution

The fourth proportional to 9,716.34, 14,573.28 and 2,696.88 is: 4,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.34 : 14,573.28 = 2,696.88 : x
  2. Step 2: Convert to fraction form
    9,716.34/14,573.28 = 2,696.88/x
  3. Step 3: Cross multiply
    9,716.34x = 14,573.28 × 2,696.88
  4. Step 4: Simplify right side
    9,716.34x = 39,302,387.37
  5. Step 5: Solve for x
    x = 39,302,387.37/9,716.34
  6. Step 6: Final answer
    x = 4,044.98

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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.