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Finding the Fourth Proportional to 6,529.56, 9,013.36 and 4,406.34

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Solution

The fourth proportional to 6,529.56, 9,013.36 and 4,406.34 is: 6,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.56 : 9,013.36 = 4,406.34 : x
  2. Step 2: Convert to fraction form
    6,529.56/9,013.36 = 4,406.34/x
  3. Step 3: Cross multiply
    6,529.56x = 9,013.36 × 4,406.34
  4. Step 4: Simplify right side
    6,529.56x = 39,715,959.75
  5. Step 5: Solve for x
    x = 39,715,959.75/6,529.56
  6. Step 6: Final answer
    x = 6,082.49

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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.