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Finding the Fourth Proportional to 9,413.88, 14,130 and 4,486.92

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Solution

The fourth proportional to 9,413.88, 14,130 and 4,486.92 is: 6,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.88 : 14,130 = 4,486.92 : x
  2. Step 2: Convert to fraction form
    9,413.88/14,130 = 4,486.92/x
  3. Step 3: Cross multiply
    9,413.88x = 14,130 × 4,486.92
  4. Step 4: Simplify right side
    9,413.88x = 63,400,179.60
  5. Step 5: Solve for x
    x = 63,400,179.60/9,413.88
  6. Step 6: Final answer
    x = 6,734.76

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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.