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Finding the Fourth Proportional to 9,513.80, 14,272.74 and 4,834.44

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Solution

The fourth proportional to 9,513.80, 14,272.74 and 4,834.44 is: 7,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.80 : 14,272.74 = 4,834.44 : x
  2. Step 2: Convert to fraction form
    9,513.80/14,272.74 = 4,834.44/x
  3. Step 3: Cross multiply
    9,513.80x = 14,272.74 × 4,834.44
  4. Step 4: Simplify right side
    9,513.80x = 69,000,705.17
  5. Step 5: Solve for x
    x = 69,000,705.17/9,513.80
  6. Step 6: Final answer
    x = 7,252.70

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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.