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Finding the Fourth Proportional to 6,529.70, 9,004.86 and 5,035.25

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Solution

The fourth proportional to 6,529.70, 9,004.86 and 5,035.25 is: 6,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.70 : 9,004.86 = 5,035.25 : x
  2. Step 2: Convert to fraction form
    6,529.70/9,004.86 = 5,035.25/x
  3. Step 3: Cross multiply
    6,529.70x = 9,004.86 × 5,035.25
  4. Step 4: Simplify right side
    6,529.70x = 45,341,676.29
  5. Step 5: Solve for x
    x = 45,341,676.29/6,529.70
  6. Step 6: Final answer
    x = 6,943.92

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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.