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Finding the Fourth Proportional to 6,869.24, 9,476.16 and 4,628.24

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Solution

The fourth proportional to 6,869.24, 9,476.16 and 4,628.24 is: 6,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.24 : 9,476.16 = 4,628.24 : x
  2. Step 2: Convert to fraction form
    6,869.24/9,476.16 = 4,628.24/x
  3. Step 3: Cross multiply
    6,869.24x = 9,476.16 × 4,628.24
  4. Step 4: Simplify right side
    6,869.24x = 43,857,942.76
  5. Step 5: Solve for x
    x = 43,857,942.76/6,869.24
  6. Step 6: Final answer
    x = 6,384.69

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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.