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Finding the Fourth Proportional to 6,094.28, 8,413.74 and 4,002.02

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Solution

The fourth proportional to 6,094.28, 8,413.74 and 4,002.02 is: 5,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.28 : 8,413.74 = 4,002.02 : x
  2. Step 2: Convert to fraction form
    6,094.28/8,413.74 = 4,002.02/x
  3. Step 3: Cross multiply
    6,094.28x = 8,413.74 × 4,002.02
  4. Step 4: Simplify right side
    6,094.28x = 33,671,955.75
  5. Step 5: Solve for x
    x = 33,671,955.75/6,094.28
  6. Step 6: Final answer
    x = 5,525.17

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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.