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Finding the Fourth Proportional to 9,204.69, 12,702.37 and 5,428.01

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Solution

The fourth proportional to 9,204.69, 12,702.37 and 5,428.01 is: 7,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.69 : 12,702.37 = 5,428.01 : x
  2. Step 2: Convert to fraction form
    9,204.69/12,702.37 = 5,428.01/x
  3. Step 3: Cross multiply
    9,204.69x = 12,702.37 × 5,428.01
  4. Step 4: Simplify right side
    9,204.69x = 68,948,619.75
  5. Step 5: Solve for x
    x = 68,948,619.75/9,204.69
  6. Step 6: Final answer
    x = 7,490.60

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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.