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Finding the Fourth Proportional to 6,529.72, 9,007.84 and 3,875.25

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Solution

The fourth proportional to 6,529.72, 9,007.84 and 3,875.25 is: 5,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.72 : 9,007.84 = 3,875.25 : x
  2. Step 2: Convert to fraction form
    6,529.72/9,007.84 = 3,875.25/x
  3. Step 3: Cross multiply
    6,529.72x = 9,007.84 × 3,875.25
  4. Step 4: Simplify right side
    6,529.72x = 34,907,645.25
  5. Step 5: Solve for x
    x = 34,907,645.25/6,529.72
  6. Step 6: Final answer
    x = 5,345.96

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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.