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Finding the Fourth Proportional to 9,297.54, 13,947.12 and 3,055.68

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Solution

The fourth proportional to 9,297.54, 13,947.12 and 3,055.68 is: 4,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.54 : 13,947.12 = 3,055.68 : x
  2. Step 2: Convert to fraction form
    9,297.54/13,947.12 = 3,055.68/x
  3. Step 3: Cross multiply
    9,297.54x = 13,947.12 × 3,055.68
  4. Step 4: Simplify right side
    9,297.54x = 42,617,935.64
  5. Step 5: Solve for x
    x = 42,617,935.64/9,297.54
  6. Step 6: Final answer
    x = 4,583.79

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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.