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Finding the Fourth Proportional to 9,626.58, 14,413.80 and 4,999.86

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Solution

The fourth proportional to 9,626.58, 14,413.80 and 4,999.86 is: 7,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.58 : 14,413.80 = 4,999.86 : x
  2. Step 2: Convert to fraction form
    9,626.58/14,413.80 = 4,999.86/x
  3. Step 3: Cross multiply
    9,626.58x = 14,413.80 × 4,999.86
  4. Step 4: Simplify right side
    9,626.58x = 72,066,982.07
  5. Step 5: Solve for x
    x = 72,066,982.07/9,626.58
  6. Step 6: Final answer
    x = 7,486.25

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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.