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Finding the Fourth Proportional to 6,483.07, 8,946.82 and 3,965.14

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Solution

The fourth proportional to 6,483.07, 8,946.82 and 3,965.14 is: 5,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.07 : 8,946.82 = 3,965.14 : x
  2. Step 2: Convert to fraction form
    6,483.07/8,946.82 = 3,965.14/x
  3. Step 3: Cross multiply
    6,483.07x = 8,946.82 × 3,965.14
  4. Step 4: Simplify right side
    6,483.07x = 35,475,337.36
  5. Step 5: Solve for x
    x = 35,475,337.36/6,483.07
  6. Step 6: Final answer
    x = 5,472.00

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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.