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Finding the Fourth Proportional to 6,036.30, 8,314.47 and 4,264.83

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Solution

The fourth proportional to 6,036.30, 8,314.47 and 4,264.83 is: 5,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.30 : 8,314.47 = 4,264.83 : x
  2. Step 2: Convert to fraction form
    6,036.30/8,314.47 = 4,264.83/x
  3. Step 3: Cross multiply
    6,036.30x = 8,314.47 × 4,264.83
  4. Step 4: Simplify right side
    6,036.30x = 35,459,801.09
  5. Step 5: Solve for x
    x = 35,459,801.09/6,036.30
  6. Step 6: Final answer
    x = 5,874.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.