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Finding the Fourth Proportional to 9,573.80, 14,285.05 and 8,277.80

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Solution

The fourth proportional to 9,573.80, 14,285.05 and 8,277.80 is: 12,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.80 : 14,285.05 = 8,277.80 : x
  2. Step 2: Convert to fraction form
    9,573.80/14,285.05 = 8,277.80/x
  3. Step 3: Cross multiply
    9,573.80x = 14,285.05 × 8,277.80
  4. Step 4: Simplify right side
    9,573.80x = 118,248,786.89
  5. Step 5: Solve for x
    x = 118,248,786.89/9,573.80
  6. Step 6: Final answer
    x = 12,351.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.