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Finding the Fourth Proportional to 6,102.55, 9,135.60 and 5,742.10

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Solution

The fourth proportional to 6,102.55, 9,135.60 and 5,742.10 is: 8,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.55 : 9,135.60 = 5,742.10 : x
  2. Step 2: Convert to fraction form
    6,102.55/9,135.60 = 5,742.10/x
  3. Step 3: Cross multiply
    6,102.55x = 9,135.60 × 5,742.10
  4. Step 4: Simplify right side
    6,102.55x = 52,457,528.76
  5. Step 5: Solve for x
    x = 52,457,528.76/6,102.55
  6. Step 6: Final answer
    x = 8,596.00

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