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Finding the Fourth Proportional to 6,114.06, 8,436.06 and 3,460.86

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Solution

The fourth proportional to 6,114.06, 8,436.06 and 3,460.86 is: 4,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.06 : 8,436.06 = 3,460.86 : x
  2. Step 2: Convert to fraction form
    6,114.06/8,436.06 = 3,460.86/x
  3. Step 3: Cross multiply
    6,114.06x = 8,436.06 × 3,460.86
  4. Step 4: Simplify right side
    6,114.06x = 29,196,022.61
  5. Step 5: Solve for x
    x = 29,196,022.61/6,114.06
  6. Step 6: Final answer
    x = 4,775.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.