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Finding the Fourth Proportional to 9,586.57, 14,375.30 and 3,345.83

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Solution

The fourth proportional to 9,586.57, 14,375.30 and 3,345.83 is: 5,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.57 : 14,375.30 = 3,345.83 : x
  2. Step 2: Convert to fraction form
    9,586.57/14,375.30 = 3,345.83/x
  3. Step 3: Cross multiply
    9,586.57x = 14,375.30 × 3,345.83
  4. Step 4: Simplify right side
    9,586.57x = 48,097,310.00
  5. Step 5: Solve for x
    x = 48,097,310.00/9,586.57
  6. Step 6: Final answer
    x = 5,017.16

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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.