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Finding the Fourth Proportional to 9,295.63, 13,943.44 and 5,835.31

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Solution

The fourth proportional to 9,295.63, 13,943.44 and 5,835.31 is: 8,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.63 : 13,943.44 = 5,835.31 : x
  2. Step 2: Convert to fraction form
    9,295.63/13,943.44 = 5,835.31/x
  3. Step 3: Cross multiply
    9,295.63x = 13,943.44 × 5,835.31
  4. Step 4: Simplify right side
    9,295.63x = 81,364,294.87
  5. Step 5: Solve for x
    x = 81,364,294.87/9,295.63
  6. Step 6: Final answer
    x = 8,752.96

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1.5x scale

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.