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Finding the Fourth Proportional to 6,812.84, 9,397.92 and 4,688.12

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Solution

The fourth proportional to 6,812.84, 9,397.92 and 4,688.12 is: 6,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.84 : 9,397.92 = 4,688.12 : x
  2. Step 2: Convert to fraction form
    6,812.84/9,397.92 = 4,688.12/x
  3. Step 3: Cross multiply
    6,812.84x = 9,397.92 × 4,688.12
  4. Step 4: Simplify right side
    6,812.84x = 44,058,576.71
  5. Step 5: Solve for x
    x = 44,058,576.71/6,812.84
  6. Step 6: Final answer
    x = 6,466.99

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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.