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Finding the Fourth Proportional to 9,258, 12,770.04 and 6,238.32

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Solution

The fourth proportional to 9,258, 12,770.04 and 6,238.32 is: 8,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258 : 12,770.04 = 6,238.32 : x
  2. Step 2: Convert to fraction form
    9,258/12,770.04 = 6,238.32/x
  3. Step 3: Cross multiply
    9,258x = 12,770.04 × 6,238.32
  4. Step 4: Simplify right side
    9,258x = 79,663,595.93
  5. Step 5: Solve for x
    x = 79,663,595.93/9,258
  6. Step 6: Final answer
    x = 8,604.84

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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.