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Finding the Fourth Proportional to 9,548.38, 13,176.85 and 5,356.72

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Solution

The fourth proportional to 9,548.38, 13,176.85 and 5,356.72 is: 7,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.38 : 13,176.85 = 5,356.72 : x
  2. Step 2: Convert to fraction form
    9,548.38/13,176.85 = 5,356.72/x
  3. Step 3: Cross multiply
    9,548.38x = 13,176.85 × 5,356.72
  4. Step 4: Simplify right side
    9,548.38x = 70,584,616.66
  5. Step 5: Solve for x
    x = 70,584,616.66/9,548.38
  6. Step 6: Final answer
    x = 7,392.32

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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.