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Finding the Fourth Proportional to 6,645.06, 9,969.64 and 5,607.60

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Solution

The fourth proportional to 6,645.06, 9,969.64 and 5,607.60 is: 8,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.06 : 9,969.64 = 5,607.60 : x
  2. Step 2: Convert to fraction form
    6,645.06/9,969.64 = 5,607.60/x
  3. Step 3: Cross multiply
    6,645.06x = 9,969.64 × 5,607.60
  4. Step 4: Simplify right side
    6,645.06x = 55,905,825.41
  5. Step 5: Solve for x
    x = 55,905,825.41/6,645.06
  6. Step 6: Final answer
    x = 8,413.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.