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Finding the Fourth Proportional to 6,500.25, 9,714.60 and 4,748.90

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Solution

The fourth proportional to 6,500.25, 9,714.60 and 4,748.90 is: 7,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 9,714.60 = 4,748.90 : x
  2. Step 2: Convert to fraction form
    6,500.25/9,714.60 = 4,748.90/x
  3. Step 3: Cross multiply
    6,500.25x = 9,714.60 × 4,748.90
  4. Step 4: Simplify right side
    6,500.25x = 46,133,615.37
  5. Step 5: Solve for x
    x = 46,133,615.37/6,500.25
  6. Step 6: Final answer
    x = 7,097.21

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