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Finding the Fourth Proportional to 6,805.84, 9,381.36 and 4,812.16

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Solution

The fourth proportional to 6,805.84, 9,381.36 and 4,812.16 is: 6,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.84 : 9,381.36 = 4,812.16 : x
  2. Step 2: Convert to fraction form
    6,805.84/9,381.36 = 4,812.16/x
  3. Step 3: Cross multiply
    6,805.84x = 9,381.36 × 4,812.16
  4. Step 4: Simplify right side
    6,805.84x = 45,144,605.34
  5. Step 5: Solve for x
    x = 45,144,605.34/6,805.84
  6. Step 6: Final answer
    x = 6,633.22

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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.