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Finding the Fourth Proportional to 9,384.66, 14,080.10 and 3,147.62

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Solution

The fourth proportional to 9,384.66, 14,080.10 and 3,147.62 is: 4,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.66 : 14,080.10 = 3,147.62 : x
  2. Step 2: Convert to fraction form
    9,384.66/14,080.10 = 3,147.62/x
  3. Step 3: Cross multiply
    9,384.66x = 14,080.10 × 3,147.62
  4. Step 4: Simplify right side
    9,384.66x = 44,318,718.22
  5. Step 5: Solve for x
    x = 44,318,718.22/9,384.66
  6. Step 6: Final answer
    x = 4,722.46

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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.