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Finding the Fourth Proportional to 9,602.70, 14,404.05 and 8,193.30

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Solution

The fourth proportional to 9,602.70, 14,404.05 and 8,193.30 is: 12,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.70 : 14,404.05 = 8,193.30 : x
  2. Step 2: Convert to fraction form
    9,602.70/14,404.05 = 8,193.30/x
  3. Step 3: Cross multiply
    9,602.70x = 14,404.05 × 8,193.30
  4. Step 4: Simplify right side
    9,602.70x = 118,016,702.87
  5. Step 5: Solve for x
    x = 118,016,702.87/9,602.70
  6. Step 6: Final answer
    x = 12,289.95

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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.