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Finding the Fourth Proportional to 9,842.72, 14,762.84 and 4,299.88

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Solution

The fourth proportional to 9,842.72, 14,762.84 and 4,299.88 is: 6,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.72 : 14,762.84 = 4,299.88 : x
  2. Step 2: Convert to fraction form
    9,842.72/14,762.84 = 4,299.88/x
  3. Step 3: Cross multiply
    9,842.72x = 14,762.84 × 4,299.88
  4. Step 4: Simplify right side
    9,842.72x = 63,478,440.46
  5. Step 5: Solve for x
    x = 63,478,440.46/9,842.72
  6. Step 6: Final answer
    x = 6,449.28

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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.