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Finding the Fourth Proportional to 9,907.41, 14,757.88 and 9,381.50

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Solution

The fourth proportional to 9,907.41, 14,757.88 and 9,381.50 is: 13,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.41 : 14,757.88 = 9,381.50 : x
  2. Step 2: Convert to fraction form
    9,907.41/14,757.88 = 9,381.50/x
  3. Step 3: Cross multiply
    9,907.41x = 14,757.88 × 9,381.50
  4. Step 4: Simplify right side
    9,907.41x = 138,451,051.22
  5. Step 5: Solve for x
    x = 138,451,051.22/9,907.41
  6. Step 6: Final answer
    x = 13,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.