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Finding the Fourth Proportional to 9,458.72, 13,047.12 and 6,801.92

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Solution

The fourth proportional to 9,458.72, 13,047.12 and 6,801.92 is: 9,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.72 : 13,047.12 = 6,801.92 : x
  2. Step 2: Convert to fraction form
    9,458.72/13,047.12 = 6,801.92/x
  3. Step 3: Cross multiply
    9,458.72x = 13,047.12 × 6,801.92
  4. Step 4: Simplify right side
    9,458.72x = 88,745,466.47
  5. Step 5: Solve for x
    x = 88,745,466.47/9,458.72
  6. Step 6: Final answer
    x = 9,382.40

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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.