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Finding the Fourth Proportional to 9,449.64, 14,145.30 and 8,643.24

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Solution

The fourth proportional to 9,449.64, 14,145.30 and 8,643.24 is: 12,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.64 : 14,145.30 = 8,643.24 : x
  2. Step 2: Convert to fraction form
    9,449.64/14,145.30 = 8,643.24/x
  3. Step 3: Cross multiply
    9,449.64x = 14,145.30 × 8,643.24
  4. Step 4: Simplify right side
    9,449.64x = 122,261,222.77
  5. Step 5: Solve for x
    x = 122,261,222.77/9,449.64
  6. Step 6: Final answer
    x = 12,938.19

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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.