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Finding the Fourth Proportional to 9,694.64, 14,529.77 and 5,252.14

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Solution

The fourth proportional to 9,694.64, 14,529.77 and 5,252.14 is: 7,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.64 : 14,529.77 = 5,252.14 : x
  2. Step 2: Convert to fraction form
    9,694.64/14,529.77 = 5,252.14/x
  3. Step 3: Cross multiply
    9,694.64x = 14,529.77 × 5,252.14
  4. Step 4: Simplify right side
    9,694.64x = 76,312,287.30
  5. Step 5: Solve for x
    x = 76,312,287.30/9,694.64
  6. Step 6: Final answer
    x = 7,871.60

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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.