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Finding the Fourth Proportional to 6,186.08, 9,264.75 and 6,139.98

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Solution

The fourth proportional to 6,186.08, 9,264.75 and 6,139.98 is: 9,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.08 : 9,264.75 = 6,139.98 : x
  2. Step 2: Convert to fraction form
    6,186.08/9,264.75 = 6,139.98/x
  3. Step 3: Cross multiply
    6,186.08x = 9,264.75 × 6,139.98
  4. Step 4: Simplify right side
    6,186.08x = 56,885,379.71
  5. Step 5: Solve for x
    x = 56,885,379.71/6,186.08
  6. Step 6: Final answer
    x = 9,195.71

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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.