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Finding the Fourth Proportional to 6,864.51, 9,476.70 and 5,369.25

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Solution

The fourth proportional to 6,864.51, 9,476.70 and 5,369.25 is: 7,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.51 : 9,476.70 = 5,369.25 : x
  2. Step 2: Convert to fraction form
    6,864.51/9,476.70 = 5,369.25/x
  3. Step 3: Cross multiply
    6,864.51x = 9,476.70 × 5,369.25
  4. Step 4: Simplify right side
    6,864.51x = 50,882,771.48
  5. Step 5: Solve for x
    x = 50,882,771.48/6,864.51
  6. Step 6: Final answer
    x = 7,412.44

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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.