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Finding the Fourth Proportional to 9,506.93, 13,119.02 and 5,257.74

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Solution

The fourth proportional to 9,506.93, 13,119.02 and 5,257.74 is: 7,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.93 : 13,119.02 = 5,257.74 : x
  2. Step 2: Convert to fraction form
    9,506.93/13,119.02 = 5,257.74/x
  3. Step 3: Cross multiply
    9,506.93x = 13,119.02 × 5,257.74
  4. Step 4: Simplify right side
    9,506.93x = 68,976,369.93
  5. Step 5: Solve for x
    x = 68,976,369.93/9,506.93
  6. Step 6: Final answer
    x = 7,255.38

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Why These Related Problems?

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