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Finding the Fourth Proportional to 9,442.78, 13,033.71 and 7,567.43

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Solution

The fourth proportional to 9,442.78, 13,033.71 and 7,567.43 is: 10,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.78 : 13,033.71 = 7,567.43 : x
  2. Step 2: Convert to fraction form
    9,442.78/13,033.71 = 7,567.43/x
  3. Step 3: Cross multiply
    9,442.78x = 13,033.71 × 7,567.43
  4. Step 4: Simplify right side
    9,442.78x = 98,631,622.90
  5. Step 5: Solve for x
    x = 98,631,622.90/9,442.78
  6. Step 6: Final answer
    x = 10,445.19

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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.