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Finding the Fourth Proportional to 6,296.48, 9,445.98 and 3,527.09

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Solution

The fourth proportional to 6,296.48, 9,445.98 and 3,527.09 is: 5,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.48 : 9,445.98 = 3,527.09 : x
  2. Step 2: Convert to fraction form
    6,296.48/9,445.98 = 3,527.09/x
  3. Step 3: Cross multiply
    6,296.48x = 9,445.98 × 3,527.09
  4. Step 4: Simplify right side
    6,296.48x = 33,316,821.60
  5. Step 5: Solve for x
    x = 33,316,821.60/6,296.48
  6. Step 6: Final answer
    x = 5,291.34

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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.