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Finding the Fourth Proportional to 9,614.35, 13,267.80 and 5,422.60

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Solution

The fourth proportional to 9,614.35, 13,267.80 and 5,422.60 is: 7,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.35 : 13,267.80 = 5,422.60 : x
  2. Step 2: Convert to fraction form
    9,614.35/13,267.80 = 5,422.60/x
  3. Step 3: Cross multiply
    9,614.35x = 13,267.80 × 5,422.60
  4. Step 4: Simplify right side
    9,614.35x = 71,945,878.83
  5. Step 5: Solve for x
    x = 71,945,878.83/9,614.35
  6. Step 6: Final answer
    x = 7,483.18

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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.