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Finding the Fourth Proportional to 29,262.86, 43,894.22 and 9,541.40

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Solution

The fourth proportional to 29,262.86, 43,894.22 and 9,541.40 is: 14,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,262.86 : 43,894.22 = 9,541.40 : x
  2. Step 2: Convert to fraction form
    29,262.86/43,894.22 = 9,541.40/x
  3. Step 3: Cross multiply
    29,262.86x = 43,894.22 × 9,541.40
  4. Step 4: Simplify right side
    29,262.86x = 418,812,115.09
  5. Step 5: Solve for x
    x = 418,812,115.09/29,262.86
  6. Step 6: Final answer
    x = 14,312.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.