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Finding the Fourth Proportional to 6,906.51, 9,525.74 and 4,484.43

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Solution

The fourth proportional to 6,906.51, 9,525.74 and 4,484.43 is: 6,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.51 : 9,525.74 = 4,484.43 : x
  2. Step 2: Convert to fraction form
    6,906.51/9,525.74 = 4,484.43/x
  3. Step 3: Cross multiply
    6,906.51x = 9,525.74 × 4,484.43
  4. Step 4: Simplify right side
    6,906.51x = 42,717,491.81
  5. Step 5: Solve for x
    x = 42,717,491.81/6,906.51
  6. Step 6: Final answer
    x = 6,185.11

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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.