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Finding the Fourth Proportional to 6,086, 9,130.36 and 1,868.94

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Solution

The fourth proportional to 6,086, 9,130.36 and 1,868.94 is: 2,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 9,130.36 = 1,868.94 : x
  2. Step 2: Convert to fraction form
    6,086/9,130.36 = 1,868.94/x
  3. Step 3: Cross multiply
    6,086x = 9,130.36 × 1,868.94
  4. Step 4: Simplify right side
    6,086x = 17,064,095.02
  5. Step 5: Solve for x
    x = 17,064,095.02/6,086
  6. Step 6: Final answer
    x = 2,803.83

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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.