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Finding the Fourth Proportional to 7,914.47, 11,871.61 and 3,297.47

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Solution

The fourth proportional to 7,914.47, 11,871.61 and 3,297.47 is: 4,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.47 : 11,871.61 = 3,297.47 : x
  2. Step 2: Convert to fraction form
    7,914.47/11,871.61 = 3,297.47/x
  3. Step 3: Cross multiply
    7,914.47x = 11,871.61 × 3,297.47
  4. Step 4: Simplify right side
    7,914.47x = 39,146,210.22
  5. Step 5: Solve for x
    x = 39,146,210.22/7,914.47
  6. Step 6: Final answer
    x = 4,946.16

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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.