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Finding the Fourth Proportional to 6,899.32, 9,508.75 and 5,632.21

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Solution

The fourth proportional to 6,899.32, 9,508.75 and 5,632.21 is: 7,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.32 : 9,508.75 = 5,632.21 : x
  2. Step 2: Convert to fraction form
    6,899.32/9,508.75 = 5,632.21/x
  3. Step 3: Cross multiply
    6,899.32x = 9,508.75 × 5,632.21
  4. Step 4: Simplify right side
    6,899.32x = 53,555,238.99
  5. Step 5: Solve for x
    x = 53,555,238.99/6,899.32
  6. Step 6: Final answer
    x = 7,762.40

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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.