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Finding the Fourth Proportional to 9,833.40, 14,750.28 and 2,907.84

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Solution

The fourth proportional to 9,833.40, 14,750.28 and 2,907.84 is: 4,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.40 : 14,750.28 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    9,833.40/14,750.28 = 2,907.84/x
  3. Step 3: Cross multiply
    9,833.40x = 14,750.28 × 2,907.84
  4. Step 4: Simplify right side
    9,833.40x = 42,891,454.20
  5. Step 5: Solve for x
    x = 42,891,454.20/9,833.40
  6. Step 6: Final answer
    x = 4,361.81

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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.