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Finding the Fourth Proportional to 6,812.16, 9,401.76 and 4,017.84

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Solution

The fourth proportional to 6,812.16, 9,401.76 and 4,017.84 is: 5,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.16 : 9,401.76 = 4,017.84 : x
  2. Step 2: Convert to fraction form
    6,812.16/9,401.76 = 4,017.84/x
  3. Step 3: Cross multiply
    6,812.16x = 9,401.76 × 4,017.84
  4. Step 4: Simplify right side
    6,812.16x = 37,774,767.40
  5. Step 5: Solve for x
    x = 37,774,767.40/6,812.16
  6. Step 6: Final answer
    x = 5,545.20

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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.