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Finding the Fourth Proportional to 6,186.58, 9,283.06 and 4,108.02

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Solution

The fourth proportional to 6,186.58, 9,283.06 and 4,108.02 is: 6,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.58 : 9,283.06 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    6,186.58/9,283.06 = 4,108.02/x
  3. Step 3: Cross multiply
    6,186.58x = 9,283.06 × 4,108.02
  4. Step 4: Simplify right side
    6,186.58x = 38,134,943.36
  5. Step 5: Solve for x
    x = 38,134,943.36/6,186.58
  6. Step 6: Final answer
    x = 6,164.14

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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.