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Finding the Fourth Proportional to 9,434.25, 13,019.27 and 5,708.25

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Solution

The fourth proportional to 9,434.25, 13,019.27 and 5,708.25 is: 7,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.25 : 13,019.27 = 5,708.25 : x
  2. Step 2: Convert to fraction form
    9,434.25/13,019.27 = 5,708.25/x
  3. Step 3: Cross multiply
    9,434.25x = 13,019.27 × 5,708.25
  4. Step 4: Simplify right side
    9,434.25x = 74,317,219.44
  5. Step 5: Solve for x
    x = 74,317,219.44/9,434.25
  6. Step 6: Final answer
    x = 7,877.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.