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Finding the Fourth Proportional to 9,838.97, 14,762.80 and 5,157.86

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Solution

The fourth proportional to 9,838.97, 14,762.80 and 5,157.86 is: 7,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.97 : 14,762.80 = 5,157.86 : x
  2. Step 2: Convert to fraction form
    9,838.97/14,762.80 = 5,157.86/x
  3. Step 3: Cross multiply
    9,838.97x = 14,762.80 × 5,157.86
  4. Step 4: Simplify right side
    9,838.97x = 76,144,455.61
  5. Step 5: Solve for x
    x = 76,144,455.61/9,838.97
  6. Step 6: Final answer
    x = 7,739.07

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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.