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Finding the Fourth Proportional to 12,618.41, 17,413.75 and 6,953.78

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Solution

The fourth proportional to 12,618.41, 17,413.75 and 6,953.78 is: 9,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.41 : 17,413.75 = 6,953.78 : x
  2. Step 2: Convert to fraction form
    12,618.41/17,413.75 = 6,953.78/x
  3. Step 3: Cross multiply
    12,618.41x = 17,413.75 × 6,953.78
  4. Step 4: Simplify right side
    12,618.41x = 121,091,386.48
  5. Step 5: Solve for x
    x = 121,091,386.48/12,618.41
  6. Step 6: Final answer
    x = 9,596.41

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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.