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Finding the Fourth Proportional to 9,727.18, 13,477.72 and 9,516.98

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Solution

The fourth proportional to 9,727.18, 13,477.72 and 9,516.98 is: 13,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.18 : 13,477.72 = 9,516.98 : x
  2. Step 2: Convert to fraction form
    9,727.18/13,477.72 = 9,516.98/x
  3. Step 3: Cross multiply
    9,727.18x = 13,477.72 × 9,516.98
  4. Step 4: Simplify right side
    9,727.18x = 128,267,201.59
  5. Step 5: Solve for x
    x = 128,267,201.59/9,727.18
  6. Step 6: Final answer
    x = 13,186.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.