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Finding the Fourth Proportional to 9,284.55, 12,813.01 and 6,638.28

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Solution

The fourth proportional to 9,284.55, 12,813.01 and 6,638.28 is: 9,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.55 : 12,813.01 = 6,638.28 : x
  2. Step 2: Convert to fraction form
    9,284.55/12,813.01 = 6,638.28/x
  3. Step 3: Cross multiply
    9,284.55x = 12,813.01 × 6,638.28
  4. Step 4: Simplify right side
    9,284.55x = 85,056,283.38
  5. Step 5: Solve for x
    x = 85,056,283.38/9,284.55
  6. Step 6: Final answer
    x = 9,161.06

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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.