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Finding the Fourth Proportional to 9,292.16, 13,938 and 2,272.16

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Solution

The fourth proportional to 9,292.16, 13,938 and 2,272.16 is: 3,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.16 : 13,938 = 2,272.16 : x
  2. Step 2: Convert to fraction form
    9,292.16/13,938 = 2,272.16/x
  3. Step 3: Cross multiply
    9,292.16x = 13,938 × 2,272.16
  4. Step 4: Simplify right side
    9,292.16x = 31,669,366.08
  5. Step 5: Solve for x
    x = 31,669,366.08/9,292.16
  6. Step 6: Final answer
    x = 3,408.18

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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.