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Finding the Fourth Proportional to 9,320.68, 13,977.50 and 2,745

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Solution

The fourth proportional to 9,320.68, 13,977.50 and 2,745 is: 4,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.68 : 13,977.50 = 2,745 : x
  2. Step 2: Convert to fraction form
    9,320.68/13,977.50 = 2,745/x
  3. Step 3: Cross multiply
    9,320.68x = 13,977.50 × 2,745
  4. Step 4: Simplify right side
    9,320.68x = 38,368,237.50
  5. Step 5: Solve for x
    x = 38,368,237.50/9,320.68
  6. Step 6: Final answer
    x = 4,116.46

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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.