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Finding the Fourth Proportional to 9,292.86, 13,941.24 and 3,052.38

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Solution

The fourth proportional to 9,292.86, 13,941.24 and 3,052.38 is: 4,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.86 : 13,941.24 = 3,052.38 : x
  2. Step 2: Convert to fraction form
    9,292.86/13,941.24 = 3,052.38/x
  3. Step 3: Cross multiply
    9,292.86x = 13,941.24 × 3,052.38
  4. Step 4: Simplify right side
    9,292.86x = 42,553,962.15
  5. Step 5: Solve for x
    x = 42,553,962.15/9,292.86
  6. Step 6: Final answer
    x = 4,579.21

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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.