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Finding the Fourth Proportional to 9,139.66, 13,709.52 and 2,214.16

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Solution

The fourth proportional to 9,139.66, 13,709.52 and 2,214.16 is: 3,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.66 : 13,709.52 = 2,214.16 : x
  2. Step 2: Convert to fraction form
    9,139.66/13,709.52 = 2,214.16/x
  3. Step 3: Cross multiply
    9,139.66x = 13,709.52 × 2,214.16
  4. Step 4: Simplify right side
    9,139.66x = 30,355,070.80
  5. Step 5: Solve for x
    x = 30,355,070.80/9,139.66
  6. Step 6: Final answer
    x = 3,321.25

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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.