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Finding the Fourth Proportional to 9,833.74, 14,739.95 and 4,839.55

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Solution

The fourth proportional to 9,833.74, 14,739.95 and 4,839.55 is: 7,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.74 : 14,739.95 = 4,839.55 : x
  2. Step 2: Convert to fraction form
    9,833.74/14,739.95 = 4,839.55/x
  3. Step 3: Cross multiply
    9,833.74x = 14,739.95 × 4,839.55
  4. Step 4: Simplify right side
    9,833.74x = 71,334,700.27
  5. Step 5: Solve for x
    x = 71,334,700.27/9,833.74
  6. Step 6: Final answer
    x = 7,254.08

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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.