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Finding the Fourth Proportional to 9,849.68, 14,762.19 and 4,920.69

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Solution

The fourth proportional to 9,849.68, 14,762.19 and 4,920.69 is: 7,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.68 : 14,762.19 = 4,920.69 : x
  2. Step 2: Convert to fraction form
    9,849.68/14,762.19 = 4,920.69/x
  3. Step 3: Cross multiply
    9,849.68x = 14,762.19 × 4,920.69
  4. Step 4: Simplify right side
    9,849.68x = 72,640,160.71
  5. Step 5: Solve for x
    x = 72,640,160.71/9,849.68
  6. Step 6: Final answer
    x = 7,374.88

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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.