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Finding the Fourth Proportional to 6,303.15, 9,454.86 and 2,840.40

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Solution

The fourth proportional to 6,303.15, 9,454.86 and 2,840.40 is: 4,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.15 : 9,454.86 = 2,840.40 : x
  2. Step 2: Convert to fraction form
    6,303.15/9,454.86 = 2,840.40/x
  3. Step 3: Cross multiply
    6,303.15x = 9,454.86 × 2,840.40
  4. Step 4: Simplify right side
    6,303.15x = 26,855,584.34
  5. Step 5: Solve for x
    x = 26,855,584.34/6,303.15
  6. Step 6: Final answer
    x = 4,260.66

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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.