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Finding the Fourth Proportional to 9,223.94, 13,835.91 and 8,303.36

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Solution

The fourth proportional to 9,223.94, 13,835.91 and 8,303.36 is: 12,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.94 : 13,835.91 = 8,303.36 : x
  2. Step 2: Convert to fraction form
    9,223.94/13,835.91 = 8,303.36/x
  3. Step 3: Cross multiply
    9,223.94x = 13,835.91 × 8,303.36
  4. Step 4: Simplify right side
    9,223.94x = 114,884,472.48
  5. Step 5: Solve for x
    x = 114,884,472.48/9,223.94
  6. Step 6: Final answer
    x = 12,455.04

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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.