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Finding the Fourth Proportional to 9,352.38, 13,963.47 and 8,419.26

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Solution

The fourth proportional to 9,352.38, 13,963.47 and 8,419.26 is: 12,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.38 : 13,963.47 = 8,419.26 : x
  2. Step 2: Convert to fraction form
    9,352.38/13,963.47 = 8,419.26/x
  3. Step 3: Cross multiply
    9,352.38x = 13,963.47 × 8,419.26
  4. Step 4: Simplify right side
    9,352.38x = 117,562,084.43
  5. Step 5: Solve for x
    x = 117,562,084.43/9,352.38
  6. Step 6: Final answer
    x = 12,570.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.