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Finding the Fourth Proportional to 9,114.55, 12,577.84 and 5,081.43

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Solution

The fourth proportional to 9,114.55, 12,577.84 and 5,081.43 is: 7,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.55 : 12,577.84 = 5,081.43 : x
  2. Step 2: Convert to fraction form
    9,114.55/12,577.84 = 5,081.43/x
  3. Step 3: Cross multiply
    9,114.55x = 12,577.84 × 5,081.43
  4. Step 4: Simplify right side
    9,114.55x = 63,913,413.51
  5. Step 5: Solve for x
    x = 63,913,413.51/9,114.55
  6. Step 6: Final answer
    x = 7,012.24

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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.