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Finding the Fourth Proportional to 9,762.60, 14,634.30 and 8,725.80

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Solution

The fourth proportional to 9,762.60, 14,634.30 and 8,725.80 is: 13,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.60 : 14,634.30 = 8,725.80 : x
  2. Step 2: Convert to fraction form
    9,762.60/14,634.30 = 8,725.80/x
  3. Step 3: Cross multiply
    9,762.60x = 14,634.30 × 8,725.80
  4. Step 4: Simplify right side
    9,762.60x = 127,695,974.94
  5. Step 5: Solve for x
    x = 127,695,974.94/9,762.60
  6. Step 6: Final answer
    x = 13,080.12

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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.