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Finding the Fourth Proportional to 9,666.20, 14,468.52 and 7,696.28

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Solution

The fourth proportional to 9,666.20, 14,468.52 and 7,696.28 is: 11,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.20 : 14,468.52 = 7,696.28 : x
  2. Step 2: Convert to fraction form
    9,666.20/14,468.52 = 7,696.28/x
  3. Step 3: Cross multiply
    9,666.20x = 14,468.52 × 7,696.28
  4. Step 4: Simplify right side
    9,666.20x = 111,353,781.11
  5. Step 5: Solve for x
    x = 111,353,781.11/9,666.20
  6. Step 6: Final answer
    x = 11,519.91

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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.