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Finding the Fourth Proportional to 9,405.20, 14,107.80 and 8,829.20

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Solution

The fourth proportional to 9,405.20, 14,107.80 and 8,829.20 is: 13,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.20 : 14,107.80 = 8,829.20 : x
  2. Step 2: Convert to fraction form
    9,405.20/14,107.80 = 8,829.20/x
  3. Step 3: Cross multiply
    9,405.20x = 14,107.80 × 8,829.20
  4. Step 4: Simplify right side
    9,405.20x = 124,560,587.76
  5. Step 5: Solve for x
    x = 124,560,587.76/9,405.20
  6. Step 6: Final answer
    x = 13,243.80

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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.