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Finding the Fourth Proportional to 9,204.36, 12,702.90 and 5,669.64

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Solution

The fourth proportional to 9,204.36, 12,702.90 and 5,669.64 is: 7,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.36 : 12,702.90 = 5,669.64 : x
  2. Step 2: Convert to fraction form
    9,204.36/12,702.90 = 5,669.64/x
  3. Step 3: Cross multiply
    9,204.36x = 12,702.90 × 5,669.64
  4. Step 4: Simplify right side
    9,204.36x = 72,020,869.96
  5. Step 5: Solve for x
    x = 72,020,869.96/9,204.36
  6. Step 6: Final answer
    x = 7,824.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.