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Finding the Fourth Proportional to 9,413.60, 14,116.35 and 4,731.80

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Solution

The fourth proportional to 9,413.60, 14,116.35 and 4,731.80 is: 7,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.60 : 14,116.35 = 4,731.80 : x
  2. Step 2: Convert to fraction form
    9,413.60/14,116.35 = 4,731.80/x
  3. Step 3: Cross multiply
    9,413.60x = 14,116.35 × 4,731.80
  4. Step 4: Simplify right side
    9,413.60x = 66,795,744.93
  5. Step 5: Solve for x
    x = 66,795,744.93/9,413.60
  6. Step 6: Final answer
    x = 7,095.66

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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.