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Finding the Fourth Proportional to 6,824.56, 9,417.84 and 4,030

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Solution

The fourth proportional to 6,824.56, 9,417.84 and 4,030 is: 5,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.56 : 9,417.84 = 4,030 : x
  2. Step 2: Convert to fraction form
    6,824.56/9,417.84 = 4,030/x
  3. Step 3: Cross multiply
    6,824.56x = 9,417.84 × 4,030
  4. Step 4: Simplify right side
    6,824.56x = 37,953,895.20
  5. Step 5: Solve for x
    x = 37,953,895.20/6,824.56
  6. Step 6: Final answer
    x = 5,561.37

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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.