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Finding the Fourth Proportional to 6,303.06, 9,454.60 and 2,143.10

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Solution

The fourth proportional to 6,303.06, 9,454.60 and 2,143.10 is: 3,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.06 : 9,454.60 = 2,143.10 : x
  2. Step 2: Convert to fraction form
    6,303.06/9,454.60 = 2,143.10/x
  3. Step 3: Cross multiply
    6,303.06x = 9,454.60 × 2,143.10
  4. Step 4: Simplify right side
    6,303.06x = 20,262,153.26
  5. Step 5: Solve for x
    x = 20,262,153.26/6,303.06
  6. Step 6: Final answer
    x = 3,214.65

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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.