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Finding the Fourth Proportional to 9,384.53, 14,077.80 and 3,144.29

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Solution

The fourth proportional to 9,384.53, 14,077.80 and 3,144.29 is: 4,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.53 : 14,077.80 = 3,144.29 : x
  2. Step 2: Convert to fraction form
    9,384.53/14,077.80 = 3,144.29/x
  3. Step 3: Cross multiply
    9,384.53x = 14,077.80 × 3,144.29
  4. Step 4: Simplify right side
    9,384.53x = 44,264,615.37
  5. Step 5: Solve for x
    x = 44,264,615.37/9,384.53
  6. Step 6: Final answer
    x = 4,716.77

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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.