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Finding the Fourth Proportional to 9,211.61, 13,817.57 and 4,837.61

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Solution

The fourth proportional to 9,211.61, 13,817.57 and 4,837.61 is: 7,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.61 : 13,817.57 = 4,837.61 : x
  2. Step 2: Convert to fraction form
    9,211.61/13,817.57 = 4,837.61/x
  3. Step 3: Cross multiply
    9,211.61x = 13,817.57 × 4,837.61
  4. Step 4: Simplify right side
    9,211.61x = 66,844,014.81
  5. Step 5: Solve for x
    x = 66,844,014.81/9,211.61
  6. Step 6: Final answer
    x = 7,256.50

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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.