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Finding the Fourth Proportional to 9,623.72, 13,277.16 and 5,643.38

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Solution

The fourth proportional to 9,623.72, 13,277.16 and 5,643.38 is: 7,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.72 : 13,277.16 = 5,643.38 : x
  2. Step 2: Convert to fraction form
    9,623.72/13,277.16 = 5,643.38/x
  3. Step 3: Cross multiply
    9,623.72x = 13,277.16 × 5,643.38
  4. Step 4: Simplify right side
    9,623.72x = 74,928,059.20
  5. Step 5: Solve for x
    x = 74,928,059.20/9,623.72
  6. Step 6: Final answer
    x = 7,785.77

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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.