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Finding the Fourth Proportional to 9,206.16, 12,705 and 5,431.54

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Solution

The fourth proportional to 9,206.16, 12,705 and 5,431.54 is: 7,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 12,705 = 5,431.54 : x
  2. Step 2: Convert to fraction form
    9,206.16/12,705 = 5,431.54/x
  3. Step 3: Cross multiply
    9,206.16x = 12,705 × 5,431.54
  4. Step 4: Simplify right side
    9,206.16x = 69,007,715.70
  5. Step 5: Solve for x
    x = 69,007,715.70/9,206.16
  6. Step 6: Final answer
    x = 7,495.82

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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.