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Finding the Fourth Proportional to 9,800.01, 13,516.60 and 6,814.35

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Solution

The fourth proportional to 9,800.01, 13,516.60 and 6,814.35 is: 9,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.01 : 13,516.60 = 6,814.35 : x
  2. Step 2: Convert to fraction form
    9,800.01/13,516.60 = 6,814.35/x
  3. Step 3: Cross multiply
    9,800.01x = 13,516.60 × 6,814.35
  4. Step 4: Simplify right side
    9,800.01x = 92,106,843.21
  5. Step 5: Solve for x
    x = 92,106,843.21/9,800.01
  6. Step 6: Final answer
    x = 9,398.65

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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.