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Finding the Fourth Proportional to 7,195.36, 9,925.32 and 4,396

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Solution

The fourth proportional to 7,195.36, 9,925.32 and 4,396 is: 6,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.36 : 9,925.32 = 4,396 : x
  2. Step 2: Convert to fraction form
    7,195.36/9,925.32 = 4,396/x
  3. Step 3: Cross multiply
    7,195.36x = 9,925.32 × 4,396
  4. Step 4: Simplify right side
    7,195.36x = 43,631,706.72
  5. Step 5: Solve for x
    x = 43,631,706.72/7,195.36
  6. Step 6: Final answer
    x = 6,063.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.