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Finding the Fourth Proportional to 9,451.64, 14,148.30 and 8,645.24

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Solution

The fourth proportional to 9,451.64, 14,148.30 and 8,645.24 is: 12,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.64 : 14,148.30 = 8,645.24 : x
  2. Step 2: Convert to fraction form
    9,451.64/14,148.30 = 8,645.24/x
  3. Step 3: Cross multiply
    9,451.64x = 14,148.30 × 8,645.24
  4. Step 4: Simplify right side
    9,451.64x = 122,315,449.09
  5. Step 5: Solve for x
    x = 122,315,449.09/9,451.64
  6. Step 6: Final answer
    x = 12,941.19

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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.