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Finding the Fourth Proportional to 6,695.06, 9,241.09 and 4,042.64

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Solution

The fourth proportional to 6,695.06, 9,241.09 and 4,042.64 is: 5,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.06 : 9,241.09 = 4,042.64 : x
  2. Step 2: Convert to fraction form
    6,695.06/9,241.09 = 4,042.64/x
  3. Step 3: Cross multiply
    6,695.06x = 9,241.09 × 4,042.64
  4. Step 4: Simplify right side
    6,695.06x = 37,358,413.07
  5. Step 5: Solve for x
    x = 37,358,413.07/6,695.06
  6. Step 6: Final answer
    x = 5,580.00

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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.