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Finding the Fourth Proportional to 9,954.30, 13,734.45 and 6,413.25

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Solution

The fourth proportional to 9,954.30, 13,734.45 and 6,413.25 is: 8,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.30 : 13,734.45 = 6,413.25 : x
  2. Step 2: Convert to fraction form
    9,954.30/13,734.45 = 6,413.25/x
  3. Step 3: Cross multiply
    9,954.30x = 13,734.45 × 6,413.25
  4. Step 4: Simplify right side
    9,954.30x = 88,082,461.46
  5. Step 5: Solve for x
    x = 88,082,461.46/9,954.30
  6. Step 6: Final answer
    x = 8,848.68

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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.