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Finding the Fourth Proportional to 6,425.96, 9,637.50 and 3,829.64

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Solution

The fourth proportional to 6,425.96, 9,637.50 and 3,829.64 is: 5,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.96 : 9,637.50 = 3,829.64 : x
  2. Step 2: Convert to fraction form
    6,425.96/9,637.50 = 3,829.64/x
  3. Step 3: Cross multiply
    6,425.96x = 9,637.50 × 3,829.64
  4. Step 4: Simplify right side
    6,425.96x = 36,908,155.50
  5. Step 5: Solve for x
    x = 36,908,155.50/6,425.96
  6. Step 6: Final answer
    x = 5,743.60

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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.