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Finding the Fourth Proportional to 9,842.63, 14,768.29 and 5,161.52

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Solution

The fourth proportional to 9,842.63, 14,768.29 and 5,161.52 is: 7,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.63 : 14,768.29 = 5,161.52 : x
  2. Step 2: Convert to fraction form
    9,842.63/14,768.29 = 5,161.52/x
  3. Step 3: Cross multiply
    9,842.63x = 14,768.29 × 5,161.52
  4. Step 4: Simplify right side
    9,842.63x = 76,226,737.46
  5. Step 5: Solve for x
    x = 76,226,737.46/9,842.63
  6. Step 6: Final answer
    x = 7,744.55

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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.