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Finding the Fourth Proportional to 9,688.56, 14,532.84 and 3,114.87

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Solution

The fourth proportional to 9,688.56, 14,532.84 and 3,114.87 is: 4,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.56 : 14,532.84 = 3,114.87 : x
  2. Step 2: Convert to fraction form
    9,688.56/14,532.84 = 3,114.87/x
  3. Step 3: Cross multiply
    9,688.56x = 14,532.84 × 3,114.87
  4. Step 4: Simplify right side
    9,688.56x = 45,267,907.33
  5. Step 5: Solve for x
    x = 45,267,907.33/9,688.56
  6. Step 6: Final answer
    x = 4,672.31

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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.