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Finding the Fourth Proportional to 6,413.48, 9,623.54 and 4,853.01

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Solution

The fourth proportional to 6,413.48, 9,623.54 and 4,853.01 is: 7,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.48 : 9,623.54 = 4,853.01 : x
  2. Step 2: Convert to fraction form
    6,413.48/9,623.54 = 4,853.01/x
  3. Step 3: Cross multiply
    6,413.48x = 9,623.54 × 4,853.01
  4. Step 4: Simplify right side
    6,413.48x = 46,703,129.79
  5. Step 5: Solve for x
    x = 46,703,129.79/6,413.48
  6. Step 6: Final answer
    x = 7,282.03

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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.