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Finding the Fourth Proportional to 9,864.66, 13,613.01 and 5,388.42

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Solution

The fourth proportional to 9,864.66, 13,613.01 and 5,388.42 is: 7,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.66 : 13,613.01 = 5,388.42 : x
  2. Step 2: Convert to fraction form
    9,864.66/13,613.01 = 5,388.42/x
  3. Step 3: Cross multiply
    9,864.66x = 13,613.01 × 5,388.42
  4. Step 4: Simplify right side
    9,864.66x = 73,352,615.34
  5. Step 5: Solve for x
    x = 73,352,615.34/9,864.66
  6. Step 6: Final answer
    x = 7,435.90

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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.