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Finding the Fourth Proportional to 9,775.20, 14,662.74 and 4,843.50

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Solution

The fourth proportional to 9,775.20, 14,662.74 and 4,843.50 is: 7,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.20 : 14,662.74 = 4,843.50 : x
  2. Step 2: Convert to fraction form
    9,775.20/14,662.74 = 4,843.50/x
  3. Step 3: Cross multiply
    9,775.20x = 14,662.74 × 4,843.50
  4. Step 4: Simplify right side
    9,775.20x = 71,018,981.19
  5. Step 5: Solve for x
    x = 71,018,981.19/9,775.20
  6. Step 6: Final answer
    x = 7,265.22

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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.