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Finding the Fourth Proportional to 6,430.69, 9,645.96 and 2,269.72

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Solution

The fourth proportional to 6,430.69, 9,645.96 and 2,269.72 is: 3,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.69 : 9,645.96 = 2,269.72 : x
  2. Step 2: Convert to fraction form
    6,430.69/9,645.96 = 2,269.72/x
  3. Step 3: Cross multiply
    6,430.69x = 9,645.96 × 2,269.72
  4. Step 4: Simplify right side
    6,430.69x = 21,893,580.10
  5. Step 5: Solve for x
    x = 21,893,580.10/6,430.69
  6. Step 6: Final answer
    x = 3,404.55

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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.