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Finding the Fourth Proportional to 9,614.34, 13,267.80 and 5,422.59

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Solution

The fourth proportional to 9,614.34, 13,267.80 and 5,422.59 is: 7,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.34 : 13,267.80 = 5,422.59 : x
  2. Step 2: Convert to fraction form
    9,614.34/13,267.80 = 5,422.59/x
  3. Step 3: Cross multiply
    9,614.34x = 13,267.80 × 5,422.59
  4. Step 4: Simplify right side
    9,614.34x = 71,945,839.60
  5. Step 5: Solve for x
    x = 71,945,839.60/9,614.34
  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.