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Finding the Fourth Proportional to 9,177.66, 13,733.64 and 7,949.28

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Solution

The fourth proportional to 9,177.66, 13,733.64 and 7,949.28 is: 11,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.66 : 13,733.64 = 7,949.28 : x
  2. Step 2: Convert to fraction form
    9,177.66/13,733.64 = 7,949.28/x
  3. Step 3: Cross multiply
    9,177.66x = 13,733.64 × 7,949.28
  4. Step 4: Simplify right side
    9,177.66x = 109,172,549.78
  5. Step 5: Solve for x
    x = 109,172,549.78/9,177.66
  6. Step 6: Final answer
    x = 11,895.47

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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.