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Finding the Fourth Proportional to 9,224.63, 13,841.00 and 4,841.07

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Solution

The fourth proportional to 9,224.63, 13,841.00 and 4,841.07 is: 7,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.63 : 13,841.00 = 4,841.07 : x
  2. Step 2: Convert to fraction form
    9,224.63/13,841.00 = 4,841.07/x
  3. Step 3: Cross multiply
    9,224.63x = 13,841.00 × 4,841.07
  4. Step 4: Simplify right side
    9,224.63x = 67,005,191.91
  5. Step 5: Solve for x
    x = 67,005,191.91/9,224.63
  6. Step 6: Final answer
    x = 7,263.73

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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.