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Finding the Fourth Proportional to 9,954.32, 13,736.61 and 5,477.95

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Solution

The fourth proportional to 9,954.32, 13,736.61 and 5,477.95 is: 7,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.32 : 13,736.61 = 5,477.95 : x
  2. Step 2: Convert to fraction form
    9,954.32/13,736.61 = 5,477.95/x
  3. Step 3: Cross multiply
    9,954.32x = 13,736.61 × 5,477.95
  4. Step 4: Simplify right side
    9,954.32x = 75,248,462.75
  5. Step 5: Solve for x
    x = 75,248,462.75/9,954.32
  6. Step 6: Final answer
    x = 7,559.38

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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.