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Finding the Fourth Proportional to 6,430.42, 9,646.40 and 2,269.57

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Solution

The fourth proportional to 6,430.42, 9,646.40 and 2,269.57 is: 3,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.42 : 9,646.40 = 2,269.57 : x
  2. Step 2: Convert to fraction form
    6,430.42/9,646.40 = 2,269.57/x
  3. Step 3: Cross multiply
    6,430.42x = 9,646.40 × 2,269.57
  4. Step 4: Simplify right side
    6,430.42x = 21,893,180.05
  5. Step 5: Solve for x
    x = 21,893,180.05/6,430.42
  6. Step 6: Final answer
    x = 3,404.63

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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.