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Finding the Fourth Proportional to 9,516.83, 13,109.28 and 7,274.93

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Solution

The fourth proportional to 9,516.83, 13,109.28 and 7,274.93 is: 10,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.83 : 13,109.28 = 7,274.93 : x
  2. Step 2: Convert to fraction form
    9,516.83/13,109.28 = 7,274.93/x
  3. Step 3: Cross multiply
    9,516.83x = 13,109.28 × 7,274.93
  4. Step 4: Simplify right side
    9,516.83x = 95,369,028.80
  5. Step 5: Solve for x
    x = 95,369,028.80/9,516.83
  6. Step 6: Final answer
    x = 10,021.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.