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Finding the Fourth Proportional to 6,197.00, 9,300.06 and 4,116.32

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Solution

The fourth proportional to 6,197.00, 9,300.06 and 4,116.32 is: 6,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.00 : 9,300.06 = 4,116.32 : x
  2. Step 2: Convert to fraction form
    6,197.00/9,300.06 = 4,116.32/x
  3. Step 3: Cross multiply
    6,197.00x = 9,300.06 × 4,116.32
  4. Step 4: Simplify right side
    6,197.00x = 38,281,976.48
  5. Step 5: Solve for x
    x = 38,281,976.48/6,197.00
  6. Step 6: Final answer
    x = 6,177.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.