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Finding the Fourth Proportional to 9,801.94, 14,702.92 and 5,428.63

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Solution

The fourth proportional to 9,801.94, 14,702.92 and 5,428.63 is: 8,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.94 : 14,702.92 = 5,428.63 : x
  2. Step 2: Convert to fraction form
    9,801.94/14,702.92 = 5,428.63/x
  3. Step 3: Cross multiply
    9,801.94x = 14,702.92 × 5,428.63
  4. Step 4: Simplify right side
    9,801.94x = 79,816,712.60
  5. Step 5: Solve for x
    x = 79,816,712.60/9,801.94
  6. Step 6: Final answer
    x = 8,142.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.