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Finding the Fourth Proportional to 6,276.59, 9,414.93 and 1,596.60

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Solution

The fourth proportional to 6,276.59, 9,414.93 and 1,596.60 is: 2,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.59 : 9,414.93 = 1,596.60 : x
  2. Step 2: Convert to fraction form
    6,276.59/9,414.93 = 1,596.60/x
  3. Step 3: Cross multiply
    6,276.59x = 9,414.93 × 1,596.60
  4. Step 4: Simplify right side
    6,276.59x = 15,031,892.28
  5. Step 5: Solve for x
    x = 15,031,892.28/6,276.59
  6. Step 6: Final answer
    x = 2,394.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.