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Finding the Fourth Proportional to 9,842.61, 14,759.04 and 3,266.60

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Solution

The fourth proportional to 9,842.61, 14,759.04 and 3,266.60 is: 4,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.61 : 14,759.04 = 3,266.60 : x
  2. Step 2: Convert to fraction form
    9,842.61/14,759.04 = 3,266.60/x
  3. Step 3: Cross multiply
    9,842.61x = 14,759.04 × 3,266.60
  4. Step 4: Simplify right side
    9,842.61x = 48,211,818.52
  5. Step 5: Solve for x
    x = 48,211,818.52/9,842.61
  6. Step 6: Final answer
    x = 4,898.27

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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.