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Finding the Fourth Proportional to 9,928.50, 14,891.12 and 3,001.38

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Solution

The fourth proportional to 9,928.50, 14,891.12 and 3,001.38 is: 4,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.50 : 14,891.12 = 3,001.38 : x
  2. Step 2: Convert to fraction form
    9,928.50/14,891.12 = 3,001.38/x
  3. Step 3: Cross multiply
    9,928.50x = 14,891.12 × 3,001.38
  4. Step 4: Simplify right side
    9,928.50x = 44,693,909.75
  5. Step 5: Solve for x
    x = 44,693,909.75/9,928.50
  6. Step 6: Final answer
    x = 4,501.58

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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.