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Finding the Fourth Proportional to 9,351, 12,904.38 and 6,871.32

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Solution

The fourth proportional to 9,351, 12,904.38 and 6,871.32 is: 9,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 12,904.38 = 6,871.32 : x
  2. Step 2: Convert to fraction form
    9,351/12,904.38 = 6,871.32/x
  3. Step 3: Cross multiply
    9,351x = 12,904.38 × 6,871.32
  4. Step 4: Simplify right side
    9,351x = 88,670,124.38
  5. Step 5: Solve for x
    x = 88,670,124.38/9,351
  6. Step 6: Final answer
    x = 9,482.42

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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.