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Finding the Fourth Proportional to 9,580.10, 14,375.88 and 4,033.08

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Solution

The fourth proportional to 9,580.10, 14,375.88 and 4,033.08 is: 6,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.10 : 14,375.88 = 4,033.08 : x
  2. Step 2: Convert to fraction form
    9,580.10/14,375.88 = 4,033.08/x
  3. Step 3: Cross multiply
    9,580.10x = 14,375.88 × 4,033.08
  4. Step 4: Simplify right side
    9,580.10x = 57,979,074.11
  5. Step 5: Solve for x
    x = 57,979,074.11/9,580.10
  6. Step 6: Final answer
    x = 6,052.04

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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.