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Finding the Fourth Proportional to 9,413.17, 14,122.13 and 6,645.24

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Solution

The fourth proportional to 9,413.17, 14,122.13 and 6,645.24 is: 9,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.17 : 14,122.13 = 6,645.24 : x
  2. Step 2: Convert to fraction form
    9,413.17/14,122.13 = 6,645.24/x
  3. Step 3: Cross multiply
    9,413.17x = 14,122.13 × 6,645.24
  4. Step 4: Simplify right side
    9,413.17x = 93,844,909.94
  5. Step 5: Solve for x
    x = 93,844,909.94/9,413.17
  6. Step 6: Final answer
    x = 9,969.54

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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.