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Finding the Fourth Proportional to 9,735.12, 14,589.99 and 4,468.23

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Solution

The fourth proportional to 9,735.12, 14,589.99 and 4,468.23 is: 6,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.12 : 14,589.99 = 4,468.23 : x
  2. Step 2: Convert to fraction form
    9,735.12/14,589.99 = 4,468.23/x
  3. Step 3: Cross multiply
    9,735.12x = 14,589.99 × 4,468.23
  4. Step 4: Simplify right side
    9,735.12x = 65,191,431.02
  5. Step 5: Solve for x
    x = 65,191,431.02/9,735.12
  6. Step 6: Final answer
    x = 6,696.52

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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.