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Finding the Fourth Proportional to 9,384.90, 14,077.38 and 2,811.12

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Solution

The fourth proportional to 9,384.90, 14,077.38 and 2,811.12 is: 4,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.90 : 14,077.38 = 2,811.12 : x
  2. Step 2: Convert to fraction form
    9,384.90/14,077.38 = 2,811.12/x
  3. Step 3: Cross multiply
    9,384.90x = 14,077.38 × 2,811.12
  4. Step 4: Simplify right side
    9,384.90x = 39,573,204.47
  5. Step 5: Solve for x
    x = 39,573,204.47/9,384.90
  6. Step 6: Final answer
    x = 4,216.69

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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.