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Finding the Fourth Proportional to 9,413.81, 12,980.42 and 6,006.27

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Solution

The fourth proportional to 9,413.81, 12,980.42 and 6,006.27 is: 8,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.81 : 12,980.42 = 6,006.27 : x
  2. Step 2: Convert to fraction form
    9,413.81/12,980.42 = 6,006.27/x
  3. Step 3: Cross multiply
    9,413.81x = 12,980.42 × 6,006.27
  4. Step 4: Simplify right side
    9,413.81x = 77,963,877.20
  5. Step 5: Solve for x
    x = 77,963,877.20/9,413.81
  6. Step 6: Final answer
    x = 8,281.87

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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.