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Finding the Fourth Proportional to 9,232.84, 12,731.62 and 6,085

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Solution

The fourth proportional to 9,232.84, 12,731.62 and 6,085 is: 8,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.84 : 12,731.62 = 6,085 : x
  2. Step 2: Convert to fraction form
    9,232.84/12,731.62 = 6,085/x
  3. Step 3: Cross multiply
    9,232.84x = 12,731.62 × 6,085
  4. Step 4: Simplify right side
    9,232.84x = 77,471,907.70
  5. Step 5: Solve for x
    x = 77,471,907.70/9,232.84
  6. Step 6: Final answer
    x = 8,390.91

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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.