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Finding the Fourth Proportional to 9,643.76, 14,448.12 and 8,093.72

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Solution

The fourth proportional to 9,643.76, 14,448.12 and 8,093.72 is: 12,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.76 : 14,448.12 = 8,093.72 : x
  2. Step 2: Convert to fraction form
    9,643.76/14,448.12 = 8,093.72/x
  3. Step 3: Cross multiply
    9,643.76x = 14,448.12 × 8,093.72
  4. Step 4: Simplify right side
    9,643.76x = 116,939,037.81
  5. Step 5: Solve for x
    x = 116,939,037.81/9,643.76
  6. Step 6: Final answer
    x = 12,125.88

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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.