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Finding the Fourth Proportional to 9,567.34, 13,202.93 and 5,375.59

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Solution

The fourth proportional to 9,567.34, 13,202.93 and 5,375.59 is: 7,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.34 : 13,202.93 = 5,375.59 : x
  2. Step 2: Convert to fraction form
    9,567.34/13,202.93 = 5,375.59/x
  3. Step 3: Cross multiply
    9,567.34x = 13,202.93 × 5,375.59
  4. Step 4: Simplify right side
    9,567.34x = 70,973,538.48
  5. Step 5: Solve for x
    x = 70,973,538.48/9,567.34
  6. Step 6: Final answer
    x = 7,418.31

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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.