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Finding the Fourth Proportional to 9,801.12, 14,701.83 and 5,409.03

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Solution

The fourth proportional to 9,801.12, 14,701.83 and 5,409.03 is: 8,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.12 : 14,701.83 = 5,409.03 : x
  2. Step 2: Convert to fraction form
    9,801.12/14,701.83 = 5,409.03/x
  3. Step 3: Cross multiply
    9,801.12x = 14,701.83 × 5,409.03
  4. Step 4: Simplify right side
    9,801.12x = 79,522,639.52
  5. Step 5: Solve for x
    x = 79,522,639.52/9,801.12
  6. Step 6: Final answer
    x = 8,113.63

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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.