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Finding the Fourth Proportional to 9,619.10, 14,429.10 and 3,045.80

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Solution

The fourth proportional to 9,619.10, 14,429.10 and 3,045.80 is: 4,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.10 : 14,429.10 = 3,045.80 : x
  2. Step 2: Convert to fraction form
    9,619.10/14,429.10 = 3,045.80/x
  3. Step 3: Cross multiply
    9,619.10x = 14,429.10 × 3,045.80
  4. Step 4: Simplify right side
    9,619.10x = 43,948,152.78
  5. Step 5: Solve for x
    x = 43,948,152.78/9,619.10
  6. Step 6: Final answer
    x = 4,568.84

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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.