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Finding the Fourth Proportional to 9,905.65, 14,853.11 and 4,352.49

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Solution

The fourth proportional to 9,905.65, 14,853.11 and 4,352.49 is: 6,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.65 : 14,853.11 = 4,352.49 : x
  2. Step 2: Convert to fraction form
    9,905.65/14,853.11 = 4,352.49/x
  3. Step 3: Cross multiply
    9,905.65x = 14,853.11 × 4,352.49
  4. Step 4: Simplify right side
    9,905.65x = 64,647,990.98
  5. Step 5: Solve for x
    x = 64,647,990.98/9,905.65
  6. Step 6: Final answer
    x = 6,526.38

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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.