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Finding the Fourth Proportional to 9,083.77, 13,626.45 and 2,509.96

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Solution

The fourth proportional to 9,083.77, 13,626.45 and 2,509.96 is: 3,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.77 : 13,626.45 = 2,509.96 : x
  2. Step 2: Convert to fraction form
    9,083.77/13,626.45 = 2,509.96/x
  3. Step 3: Cross multiply
    9,083.77x = 13,626.45 × 2,509.96
  4. Step 4: Simplify right side
    9,083.77x = 34,201,831.89
  5. Step 5: Solve for x
    x = 34,201,831.89/9,083.77
  6. Step 6: Final answer
    x = 3,765.16

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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.