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Finding the Fourth Proportional to 6,421.26, 9,637.38 and 4,576.89

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Solution

The fourth proportional to 6,421.26, 9,637.38 and 4,576.89 is: 6,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.26 : 9,637.38 = 4,576.89 : x
  2. Step 2: Convert to fraction form
    6,421.26/9,637.38 = 4,576.89/x
  3. Step 3: Cross multiply
    6,421.26x = 9,637.38 × 4,576.89
  4. Step 4: Simplify right side
    6,421.26x = 44,109,228.15
  5. Step 5: Solve for x
    x = 44,109,228.15/6,421.26
  6. Step 6: Final answer
    x = 6,869.25

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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.