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Finding the Fourth Proportional to 9,818.80, 14,728.20 and 8,522.80

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Solution

The fourth proportional to 9,818.80, 14,728.20 and 8,522.80 is: 12,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.80 : 14,728.20 = 8,522.80 : x
  2. Step 2: Convert to fraction form
    9,818.80/14,728.20 = 8,522.80/x
  3. Step 3: Cross multiply
    9,818.80x = 14,728.20 × 8,522.80
  4. Step 4: Simplify right side
    9,818.80x = 125,525,502.96
  5. Step 5: Solve for x
    x = 125,525,502.96/9,818.80
  6. Step 6: Final answer
    x = 12,784.20

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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.