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Finding the Fourth Proportional to 7,196.63, 9,931.34 and 4,212.32

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Solution

The fourth proportional to 7,196.63, 9,931.34 and 4,212.32 is: 5,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.63 : 9,931.34 = 4,212.32 : x
  2. Step 2: Convert to fraction form
    7,196.63/9,931.34 = 4,212.32/x
  3. Step 3: Cross multiply
    7,196.63x = 9,931.34 × 4,212.32
  4. Step 4: Simplify right side
    7,196.63x = 41,833,942.98
  5. Step 5: Solve for x
    x = 41,833,942.98/7,196.63
  6. Step 6: Final answer
    x = 5,812.99

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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.