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Finding the Fourth Proportional to 7,069.36, 9,752.92 and 4,084.64

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Solution

The fourth proportional to 7,069.36, 9,752.92 and 4,084.64 is: 5,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.36 : 9,752.92 = 4,084.64 : x
  2. Step 2: Convert to fraction form
    7,069.36/9,752.92 = 4,084.64/x
  3. Step 3: Cross multiply
    7,069.36x = 9,752.92 × 4,084.64
  4. Step 4: Simplify right side
    7,069.36x = 39,837,181.32
  5. Step 5: Solve for x
    x = 39,837,181.32/7,069.36
  6. Step 6: Final answer
    x = 5,635.19

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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.