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Finding the Fourth Proportional to 6,430.56, 8,874.03 and 3,636.06

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Solution

The fourth proportional to 6,430.56, 8,874.03 and 3,636.06 is: 5,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.56 : 8,874.03 = 3,636.06 : x
  2. Step 2: Convert to fraction form
    6,430.56/8,874.03 = 3,636.06/x
  3. Step 3: Cross multiply
    6,430.56x = 8,874.03 × 3,636.06
  4. Step 4: Simplify right side
    6,430.56x = 32,266,505.52
  5. Step 5: Solve for x
    x = 32,266,505.52/6,430.56
  6. Step 6: Final answer
    x = 5,017.68

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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.