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Finding the Fourth Proportional to 9,460.62, 13,055.72 and 5,212.17

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Solution

The fourth proportional to 9,460.62, 13,055.72 and 5,212.17 is: 7,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.62 : 13,055.72 = 5,212.17 : x
  2. Step 2: Convert to fraction form
    9,460.62/13,055.72 = 5,212.17/x
  3. Step 3: Cross multiply
    9,460.62x = 13,055.72 × 5,212.17
  4. Step 4: Simplify right side
    9,460.62x = 68,048,606.05
  5. Step 5: Solve for x
    x = 68,048,606.05/9,460.62
  6. Step 6: Final answer
    x = 7,192.83

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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.