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Finding the Fourth Proportional to 9,413.04, 14,111.28 and 3,570

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Solution

The fourth proportional to 9,413.04, 14,111.28 and 3,570 is: 5,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.04 : 14,111.28 = 3,570 : x
  2. Step 2: Convert to fraction form
    9,413.04/14,111.28 = 3,570/x
  3. Step 3: Cross multiply
    9,413.04x = 14,111.28 × 3,570
  4. Step 4: Simplify right side
    9,413.04x = 50,377,269.60
  5. Step 5: Solve for x
    x = 50,377,269.60/9,413.04
  6. Step 6: Final answer
    x = 5,351.86

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Why These Related Problems?

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