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Finding the Fourth Proportional to 9,688.95, 14,533.83 and 5,784.75

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Solution

The fourth proportional to 9,688.95, 14,533.83 and 5,784.75 is: 8,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.95 : 14,533.83 = 5,784.75 : x
  2. Step 2: Convert to fraction form
    9,688.95/14,533.83 = 5,784.75/x
  3. Step 3: Cross multiply
    9,688.95x = 14,533.83 × 5,784.75
  4. Step 4: Simplify right side
    9,688.95x = 84,074,573.09
  5. Step 5: Solve for x
    x = 84,074,573.09/9,688.95
  6. Step 6: Final answer
    x = 8,677.37

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