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Finding the Fourth Proportional to 6,413.64, 9,623.51 and 4,442.30

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Solution

The fourth proportional to 6,413.64, 9,623.51 and 4,442.30 is: 6,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.64 : 9,623.51 = 4,442.30 : x
  2. Step 2: Convert to fraction form
    6,413.64/9,623.51 = 4,442.30/x
  3. Step 3: Cross multiply
    6,413.64x = 9,623.51 × 4,442.30
  4. Step 4: Simplify right side
    6,413.64x = 42,750,496.26
  5. Step 5: Solve for x
    x = 42,750,496.26/6,413.64
  6. Step 6: Final answer
    x = 6,665.56

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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.