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Finding the Fourth Proportional to 9,444.90, 14,223.58 and 8,227.02

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Solution

The fourth proportional to 9,444.90, 14,223.58 and 8,227.02 is: 12,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.90 : 14,223.58 = 8,227.02 : x
  2. Step 2: Convert to fraction form
    9,444.90/14,223.58 = 8,227.02/x
  3. Step 3: Cross multiply
    9,444.90x = 14,223.58 × 8,227.02
  4. Step 4: Simplify right side
    9,444.90x = 117,017,636.00
  5. Step 5: Solve for x
    x = 117,017,636.00/9,444.90
  6. Step 6: Final answer
    x = 12,389.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.