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Finding the Fourth Proportional to 9,109.36, 13,670.70 and 5,830.48

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Solution

The fourth proportional to 9,109.36, 13,670.70 and 5,830.48 is: 8,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.36 : 13,670.70 = 5,830.48 : x
  2. Step 2: Convert to fraction form
    9,109.36/13,670.70 = 5,830.48/x
  3. Step 3: Cross multiply
    9,109.36x = 13,670.70 × 5,830.48
  4. Step 4: Simplify right side
    9,109.36x = 79,706,742.94
  5. Step 5: Solve for x
    x = 79,706,742.94/9,109.36
  6. Step 6: Final answer
    x = 8,749.98

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