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Finding the Fourth Proportional to 9,893.60, 14,806.80 and 6,000.80

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Solution

The fourth proportional to 9,893.60, 14,806.80 and 6,000.80 is: 8,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.60 : 14,806.80 = 6,000.80 : x
  2. Step 2: Convert to fraction form
    9,893.60/14,806.80 = 6,000.80/x
  3. Step 3: Cross multiply
    9,893.60x = 14,806.80 × 6,000.80
  4. Step 4: Simplify right side
    9,893.60x = 88,852,645.44
  5. Step 5: Solve for x
    x = 88,852,645.44/9,893.60
  6. Step 6: Final answer
    x = 8,980.82

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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.