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Finding the Fourth Proportional to 6,461.22, 9,678.16 and 3,686.46

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Solution

The fourth proportional to 6,461.22, 9,678.16 and 3,686.46 is: 5,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.22 : 9,678.16 = 3,686.46 : x
  2. Step 2: Convert to fraction form
    6,461.22/9,678.16 = 3,686.46/x
  3. Step 3: Cross multiply
    6,461.22x = 9,678.16 × 3,686.46
  4. Step 4: Simplify right side
    6,461.22x = 35,678,162.10
  5. Step 5: Solve for x
    x = 35,678,162.10/6,461.22
  6. Step 6: Final answer
    x = 5,521.89

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