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Finding the Fourth Proportional to 9,907.14, 14,865.57 and 3,983.78

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Solution

The fourth proportional to 9,907.14, 14,865.57 and 3,983.78 is: 5,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.14 : 14,865.57 = 3,983.78 : x
  2. Step 2: Convert to fraction form
    9,907.14/14,865.57 = 3,983.78/x
  3. Step 3: Cross multiply
    9,907.14x = 14,865.57 × 3,983.78
  4. Step 4: Simplify right side
    9,907.14x = 59,221,186.41
  5. Step 5: Solve for x
    x = 59,221,186.41/9,907.14
  6. Step 6: Final answer
    x = 5,977.63

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