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Finding the Fourth Proportional to 9,842.52, 14,762.88 and 3,269.46

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Solution

The fourth proportional to 9,842.52, 14,762.88 and 3,269.46 is: 4,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.52 : 14,762.88 = 3,269.46 : x
  2. Step 2: Convert to fraction form
    9,842.52/14,762.88 = 3,269.46/x
  3. Step 3: Cross multiply
    9,842.52x = 14,762.88 × 3,269.46
  4. Step 4: Simplify right side
    9,842.52x = 48,266,645.64
  5. Step 5: Solve for x
    x = 48,266,645.64/9,842.52
  6. Step 6: Final answer
    x = 4,903.89

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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.