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Finding the Fourth Proportional to 9,543, 14,314.50 and 2,617.50

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Solution

The fourth proportional to 9,543, 14,314.50 and 2,617.50 is: 3,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543 : 14,314.50 = 2,617.50 : x
  2. Step 2: Convert to fraction form
    9,543/14,314.50 = 2,617.50/x
  3. Step 3: Cross multiply
    9,543x = 14,314.50 × 2,617.50
  4. Step 4: Simplify right side
    9,543x = 37,468,203.75
  5. Step 5: Solve for x
    x = 37,468,203.75/9,543
  6. Step 6: Final answer
    x = 3,926.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.