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Finding the Fourth Proportional to 6,817.47, 9,407.14 and 3,792.35

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Solution

The fourth proportional to 6,817.47, 9,407.14 and 3,792.35 is: 5,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.47 : 9,407.14 = 3,792.35 : x
  2. Step 2: Convert to fraction form
    6,817.47/9,407.14 = 3,792.35/x
  3. Step 3: Cross multiply
    6,817.47x = 9,407.14 × 3,792.35
  4. Step 4: Simplify right side
    6,817.47x = 35,675,181.42
  5. Step 5: Solve for x
    x = 35,675,181.42/6,817.47
  6. Step 6: Final answer
    x = 5,232.91

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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.