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Finding the Fourth Proportional to 9,829.74, 14,744.19 and 2,434.02

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Solution

The fourth proportional to 9,829.74, 14,744.19 and 2,434.02 is: 3,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.74 : 14,744.19 = 2,434.02 : x
  2. Step 2: Convert to fraction form
    9,829.74/14,744.19 = 2,434.02/x
  3. Step 3: Cross multiply
    9,829.74x = 14,744.19 × 2,434.02
  4. Step 4: Simplify right side
    9,829.74x = 35,887,653.34
  5. Step 5: Solve for x
    x = 35,887,653.34/9,829.74
  6. Step 6: Final answer
    x = 3,650.93

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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.