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Finding the Fourth Proportional to 6,145.65, 9,220.29 and 2,445.75

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Solution

The fourth proportional to 6,145.65, 9,220.29 and 2,445.75 is: 3,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.65 : 9,220.29 = 2,445.75 : x
  2. Step 2: Convert to fraction form
    6,145.65/9,220.29 = 2,445.75/x
  3. Step 3: Cross multiply
    6,145.65x = 9,220.29 × 2,445.75
  4. Step 4: Simplify right side
    6,145.65x = 22,550,524.27
  5. Step 5: Solve for x
    x = 22,550,524.27/6,145.65
  6. Step 6: Final answer
    x = 3,669.35

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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.