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Finding the Fourth Proportional to 9,201.56, 12,702.42 and 5,423.45

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Solution

The fourth proportional to 9,201.56, 12,702.42 and 5,423.45 is: 7,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.56 : 12,702.42 = 5,423.45 : x
  2. Step 2: Convert to fraction form
    9,201.56/12,702.42 = 5,423.45/x
  3. Step 3: Cross multiply
    9,201.56x = 12,702.42 × 5,423.45
  4. Step 4: Simplify right side
    9,201.56x = 68,890,876.24
  5. Step 5: Solve for x
    x = 68,890,876.24/9,201.56
  6. Step 6: Final answer
    x = 7,486.87

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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.