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Finding the Fourth Proportional to 9,626.46, 13,277.16 and 6,647.28

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Solution

The fourth proportional to 9,626.46, 13,277.16 and 6,647.28 is: 9,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.46 : 13,277.16 = 6,647.28 : x
  2. Step 2: Convert to fraction form
    9,626.46/13,277.16 = 6,647.28/x
  3. Step 3: Cross multiply
    9,626.46x = 13,277.16 × 6,647.28
  4. Step 4: Simplify right side
    9,626.46x = 88,257,000.12
  5. Step 5: Solve for x
    x = 88,257,000.12/9,626.46
  6. Step 6: Final answer
    x = 9,168.17

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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.