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Finding the Fourth Proportional to 9,829.84, 14,710.11 and 6,133.81

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Solution

The fourth proportional to 9,829.84, 14,710.11 and 6,133.81 is: 9,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.84 : 14,710.11 = 6,133.81 : x
  2. Step 2: Convert to fraction form
    9,829.84/14,710.11 = 6,133.81/x
  3. Step 3: Cross multiply
    9,829.84x = 14,710.11 × 6,133.81
  4. Step 4: Simplify right side
    9,829.84x = 90,228,946.27
  5. Step 5: Solve for x
    x = 90,228,946.27/9,829.84
  6. Step 6: Final answer
    x = 9,179.09

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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.