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Finding the Fourth Proportional to 6,404.16, 8,837.76 and 3,609.64

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Solution

The fourth proportional to 6,404.16, 8,837.76 and 3,609.64 is: 4,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.16 : 8,837.76 = 3,609.64 : x
  2. Step 2: Convert to fraction form
    6,404.16/8,837.76 = 3,609.64/x
  3. Step 3: Cross multiply
    6,404.16x = 8,837.76 × 3,609.64
  4. Step 4: Simplify right side
    6,404.16x = 31,901,132.01
  5. Step 5: Solve for x
    x = 31,901,132.01/6,404.16
  6. Step 6: Final answer
    x = 4,981.31

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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.