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Finding the Fourth Proportional to 9,884.95, 14,829.18 and 3,311.80

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Solution

The fourth proportional to 9,884.95, 14,829.18 and 3,311.80 is: 4,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.95 : 14,829.18 = 3,311.80 : x
  2. Step 2: Convert to fraction form
    9,884.95/14,829.18 = 3,311.80/x
  3. Step 3: Cross multiply
    9,884.95x = 14,829.18 × 3,311.80
  4. Step 4: Simplify right side
    9,884.95x = 49,111,278.32
  5. Step 5: Solve for x
    x = 49,111,278.32/9,884.95
  6. Step 6: Final answer
    x = 4,968.29

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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.