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Finding the Fourth Proportional to 6,430.65, 9,646.75 and 2,269.80

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Solution

The fourth proportional to 6,430.65, 9,646.75 and 2,269.80 is: 3,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.65 : 9,646.75 = 2,269.80 : x
  2. Step 2: Convert to fraction form
    6,430.65/9,646.75 = 2,269.80/x
  3. Step 3: Cross multiply
    6,430.65x = 9,646.75 × 2,269.80
  4. Step 4: Simplify right side
    6,430.65x = 21,896,211.59
  5. Step 5: Solve for x
    x = 21,896,211.59/6,430.65
  6. Step 6: Final answer
    x = 3,404.98

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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.