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Finding the Fourth Proportional to 5,300.04, 7,934.94 and 4,206

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Solution

The fourth proportional to 5,300.04, 7,934.94 and 4,206 is: 6,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.04 : 7,934.94 = 4,206 : x
  2. Step 2: Convert to fraction form
    5,300.04/7,934.94 = 4,206/x
  3. Step 3: Cross multiply
    5,300.04x = 7,934.94 × 4,206
  4. Step 4: Simplify right side
    5,300.04x = 33,374,357.64
  5. Step 5: Solve for x
    x = 33,374,357.64/5,300.04
  6. Step 6: Final answer
    x = 6,297.00

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