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Finding the Fourth Proportional to 9,567.78, 14,352.50 and 2,642.28

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Solution

The fourth proportional to 9,567.78, 14,352.50 and 2,642.28 is: 3,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.78 : 14,352.50 = 2,642.28 : x
  2. Step 2: Convert to fraction form
    9,567.78/14,352.50 = 2,642.28/x
  3. Step 3: Cross multiply
    9,567.78x = 14,352.50 × 2,642.28
  4. Step 4: Simplify right side
    9,567.78x = 37,923,323.70
  5. Step 5: Solve for x
    x = 37,923,323.70/9,567.78
  6. Step 6: Final answer
    x = 3,963.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.