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Finding the Fourth Proportional to 6,391.04, 9,517.12 and 6,368

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Solution

The fourth proportional to 6,391.04, 9,517.12 and 6,368 is: 9,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.04 : 9,517.12 = 6,368 : x
  2. Step 2: Convert to fraction form
    6,391.04/9,517.12 = 6,368/x
  3. Step 3: Cross multiply
    6,391.04x = 9,517.12 × 6,368
  4. Step 4: Simplify right side
    6,391.04x = 60,605,020.16
  5. Step 5: Solve for x
    x = 60,605,020.16/6,391.04
  6. Step 6: Final answer
    x = 9,482.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.