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Finding the Fourth Proportional to 9,889.18, 13,646.94 and 5,412.86

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Solution

The fourth proportional to 9,889.18, 13,646.94 and 5,412.86 is: 7,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.18 : 13,646.94 = 5,412.86 : x
  2. Step 2: Convert to fraction form
    9,889.18/13,646.94 = 5,412.86/x
  3. Step 3: Cross multiply
    9,889.18x = 13,646.94 × 5,412.86
  4. Step 4: Simplify right side
    9,889.18x = 73,868,975.65
  5. Step 5: Solve for x
    x = 73,868,975.65/9,889.18
  6. Step 6: Final answer
    x = 7,469.68

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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.