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Finding the Fourth Proportional to 9,224.88, 12,730.53 and 5,033.13

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Solution

The fourth proportional to 9,224.88, 12,730.53 and 5,033.13 is: 6,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.88 : 12,730.53 = 5,033.13 : x
  2. Step 2: Convert to fraction form
    9,224.88/12,730.53 = 5,033.13/x
  3. Step 3: Cross multiply
    9,224.88x = 12,730.53 × 5,033.13
  4. Step 4: Simplify right side
    9,224.88x = 64,074,412.46
  5. Step 5: Solve for x
    x = 64,074,412.46/9,224.88
  6. Step 6: Final answer
    x = 6,945.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.