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Finding the Fourth Proportional to 6,483.32, 8,946.16 and 4,092.40

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Solution

The fourth proportional to 6,483.32, 8,946.16 and 4,092.40 is: 5,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.32 : 8,946.16 = 4,092.40 : x
  2. Step 2: Convert to fraction form
    6,483.32/8,946.16 = 4,092.40/x
  3. Step 3: Cross multiply
    6,483.32x = 8,946.16 × 4,092.40
  4. Step 4: Simplify right side
    6,483.32x = 36,611,265.18
  5. Step 5: Solve for x
    x = 36,611,265.18/6,483.32
  6. Step 6: Final answer
    x = 5,646.99

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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.