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Finding the Fourth Proportional to 9,758.88, 13,467.13 and 5,567.94

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Solution

The fourth proportional to 9,758.88, 13,467.13 and 5,567.94 is: 7,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.88 : 13,467.13 = 5,567.94 : x
  2. Step 2: Convert to fraction form
    9,758.88/13,467.13 = 5,567.94/x
  3. Step 3: Cross multiply
    9,758.88x = 13,467.13 × 5,567.94
  4. Step 4: Simplify right side
    9,758.88x = 74,984,157.89
  5. Step 5: Solve for x
    x = 74,984,157.89/9,758.88
  6. Step 6: Final answer
    x = 7,683.68

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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.