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Finding the Fourth Proportional to 9,349.10, 13,968.89 and 9,022.07

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Solution

The fourth proportional to 9,349.10, 13,968.89 and 9,022.07 is: 13,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.10 : 13,968.89 = 9,022.07 : x
  2. Step 2: Convert to fraction form
    9,349.10/13,968.89 = 9,022.07/x
  3. Step 3: Cross multiply
    9,349.10x = 13,968.89 × 9,022.07
  4. Step 4: Simplify right side
    9,349.10x = 126,028,188.45
  5. Step 5: Solve for x
    x = 126,028,188.45/9,349.10
  6. Step 6: Final answer
    x = 13,480.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.