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Finding the Fourth Proportional to 9,257.81, 12,775.77 and 5,225.49

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Solution

The fourth proportional to 9,257.81, 12,775.77 and 5,225.49 is: 7,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.81 : 12,775.77 = 5,225.49 : x
  2. Step 2: Convert to fraction form
    9,257.81/12,775.77 = 5,225.49/x
  3. Step 3: Cross multiply
    9,257.81x = 12,775.77 × 5,225.49
  4. Step 4: Simplify right side
    9,257.81x = 66,759,658.38
  5. Step 5: Solve for x
    x = 66,759,658.38/9,257.81
  6. Step 6: Final answer
    x = 7,211.18

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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.