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Finding the Fourth Proportional to 9,247.64, 13,871.09 and 5,095.88

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Solution

The fourth proportional to 9,247.64, 13,871.09 and 5,095.88 is: 7,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.64 : 13,871.09 = 5,095.88 : x
  2. Step 2: Convert to fraction form
    9,247.64/13,871.09 = 5,095.88/x
  3. Step 3: Cross multiply
    9,247.64x = 13,871.09 × 5,095.88
  4. Step 4: Simplify right side
    9,247.64x = 70,685,410.11
  5. Step 5: Solve for x
    x = 70,685,410.11/9,247.64
  6. Step 6: Final answer
    x = 7,643.62

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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.