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Finding the Fourth Proportional to 6,516.23, 9,774.21 and 1,585.90

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Solution

The fourth proportional to 6,516.23, 9,774.21 and 1,585.90 is: 2,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.23 : 9,774.21 = 1,585.90 : x
  2. Step 2: Convert to fraction form
    6,516.23/9,774.21 = 1,585.90/x
  3. Step 3: Cross multiply
    6,516.23x = 9,774.21 × 1,585.90
  4. Step 4: Simplify right side
    6,516.23x = 15,500,895.20
  5. Step 5: Solve for x
    x = 15,500,895.20/6,516.23
  6. Step 6: Final answer
    x = 2,378.81

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