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Finding the Fourth Proportional to 9,065.44, 13,595.28 and 2,908

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Solution

The fourth proportional to 9,065.44, 13,595.28 and 2,908 is: 4,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.44 : 13,595.28 = 2,908 : x
  2. Step 2: Convert to fraction form
    9,065.44/13,595.28 = 2,908/x
  3. Step 3: Cross multiply
    9,065.44x = 13,595.28 × 2,908
  4. Step 4: Simplify right side
    9,065.44x = 39,535,074.24
  5. Step 5: Solve for x
    x = 39,535,074.24/9,065.44
  6. Step 6: Final answer
    x = 4,361.08

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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.