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Finding the Fourth Proportional to 9,567.75, 13,204.11 and 5,376

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Solution

The fourth proportional to 9,567.75, 13,204.11 and 5,376 is: 7,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.75 : 13,204.11 = 5,376 : x
  2. Step 2: Convert to fraction form
    9,567.75/13,204.11 = 5,376/x
  3. Step 3: Cross multiply
    9,567.75x = 13,204.11 × 5,376
  4. Step 4: Simplify right side
    9,567.75x = 70,985,295.36
  5. Step 5: Solve for x
    x = 70,985,295.36/9,567.75
  6. Step 6: Final answer
    x = 7,419.23

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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.