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Finding the Fourth Proportional to 6,097.04, 8,413.96 and 3,302.56

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Solution

The fourth proportional to 6,097.04, 8,413.96 and 3,302.56 is: 4,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.04 : 8,413.96 = 3,302.56 : x
  2. Step 2: Convert to fraction form
    6,097.04/8,413.96 = 3,302.56/x
  3. Step 3: Cross multiply
    6,097.04x = 8,413.96 × 3,302.56
  4. Step 4: Simplify right side
    6,097.04x = 27,787,607.74
  5. Step 5: Solve for x
    x = 27,787,607.74/6,097.04
  6. Step 6: Final answer
    x = 4,557.56

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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.