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Finding the Fourth Proportional to 6,295.94, 9,429.54 and 3,011.35

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Solution

The fourth proportional to 6,295.94, 9,429.54 and 3,011.35 is: 4,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.94 : 9,429.54 = 3,011.35 : x
  2. Step 2: Convert to fraction form
    6,295.94/9,429.54 = 3,011.35/x
  3. Step 3: Cross multiply
    6,295.94x = 9,429.54 × 3,011.35
  4. Step 4: Simplify right side
    6,295.94x = 28,395,645.28
  5. Step 5: Solve for x
    x = 28,395,645.28/6,295.94
  6. Step 6: Final answer
    x = 4,510.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.