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Finding the Fourth Proportional to 9,563.77, 14,338.77 and 4,822.89

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Solution

The fourth proportional to 9,563.77, 14,338.77 and 4,822.89 is: 7,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.77 : 14,338.77 = 4,822.89 : x
  2. Step 2: Convert to fraction form
    9,563.77/14,338.77 = 4,822.89/x
  3. Step 3: Cross multiply
    9,563.77x = 14,338.77 × 4,822.89
  4. Step 4: Simplify right side
    9,563.77x = 69,154,346.37
  5. Step 5: Solve for x
    x = 69,154,346.37/9,563.77
  6. Step 6: Final answer
    x = 7,230.87

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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.