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Finding the Fourth Proportional to 6,396.36, 8,824.36 and 4,721.76

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Solution

The fourth proportional to 6,396.36, 8,824.36 and 4,721.76 is: 6,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.36 : 8,824.36 = 4,721.76 : x
  2. Step 2: Convert to fraction form
    6,396.36/8,824.36 = 4,721.76/x
  3. Step 3: Cross multiply
    6,396.36x = 8,824.36 × 4,721.76
  4. Step 4: Simplify right side
    6,396.36x = 41,666,510.07
  5. Step 5: Solve for x
    x = 41,666,510.07/6,396.36
  6. Step 6: Final answer
    x = 6,514.10

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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.