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Finding the Fourth Proportional to 9,223.95, 13,834.08 and 2,648.60

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Solution

The fourth proportional to 9,223.95, 13,834.08 and 2,648.60 is: 3,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.95 : 13,834.08 = 2,648.60 : x
  2. Step 2: Convert to fraction form
    9,223.95/13,834.08 = 2,648.60/x
  3. Step 3: Cross multiply
    9,223.95x = 13,834.08 × 2,648.60
  4. Step 4: Simplify right side
    9,223.95x = 36,640,875.12
  5. Step 5: Solve for x
    x = 36,640,875.12/9,223.95
  6. Step 6: Final answer
    x = 3,972.36

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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.