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Finding the Fourth Proportional to 9,386.85, 14,078.03 and 2,811.27

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Solution

The fourth proportional to 9,386.85, 14,078.03 and 2,811.27 is: 4,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.85 : 14,078.03 = 2,811.27 : x
  2. Step 2: Convert to fraction form
    9,386.85/14,078.03 = 2,811.27/x
  3. Step 3: Cross multiply
    9,386.85x = 14,078.03 × 2,811.27
  4. Step 4: Simplify right side
    9,386.85x = 39,577,129.34
  5. Step 5: Solve for x
    x = 39,577,129.34/9,386.85
  6. Step 6: Final answer
    x = 4,216.23

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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.