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Finding the Fourth Proportional to 10,346.75, 14,276.03 and 6,097.99

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Solution

The fourth proportional to 10,346.75, 14,276.03 and 6,097.99 is: 8,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.75 : 14,276.03 = 6,097.99 : x
  2. Step 2: Convert to fraction form
    10,346.75/14,276.03 = 6,097.99/x
  3. Step 3: Cross multiply
    10,346.75x = 14,276.03 × 6,097.99
  4. Step 4: Simplify right side
    10,346.75x = 87,055,022.00
  5. Step 5: Solve for x
    x = 87,055,022.00/10,346.75
  6. Step 6: Final answer
    x = 8,413.75

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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.