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Finding the Fourth Proportional to 9,716.93, 14,563.09 and 6,205.58

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Solution

The fourth proportional to 9,716.93, 14,563.09 and 6,205.58 is: 9,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.93 : 14,563.09 = 6,205.58 : x
  2. Step 2: Convert to fraction form
    9,716.93/14,563.09 = 6,205.58/x
  3. Step 3: Cross multiply
    9,716.93x = 14,563.09 × 6,205.58
  4. Step 4: Simplify right side
    9,716.93x = 90,372,316.20
  5. Step 5: Solve for x
    x = 90,372,316.20/9,716.93
  6. Step 6: Final answer
    x = 9,300.51

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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.