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Finding the Fourth Proportional to 9,728.78, 13,516.35 and 9,612.14

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Solution

The fourth proportional to 9,728.78, 13,516.35 and 9,612.14 is: 13,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.78 : 13,516.35 = 9,612.14 : x
  2. Step 2: Convert to fraction form
    9,728.78/13,516.35 = 9,612.14/x
  3. Step 3: Cross multiply
    9,728.78x = 13,516.35 × 9,612.14
  4. Step 4: Simplify right side
    9,728.78x = 129,921,048.49
  5. Step 5: Solve for x
    x = 129,921,048.49/9,728.78
  6. Step 6: Final answer
    x = 13,354.30

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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.