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Finding the Fourth Proportional to 6,909.80, 10,364.70 and 6,553.40

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Solution

The fourth proportional to 6,909.80, 10,364.70 and 6,553.40 is: 9,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.80 : 10,364.70 = 6,553.40 : x
  2. Step 2: Convert to fraction form
    6,909.80/10,364.70 = 6,553.40/x
  3. Step 3: Cross multiply
    6,909.80x = 10,364.70 × 6,553.40
  4. Step 4: Simplify right side
    6,909.80x = 67,924,024.98
  5. Step 5: Solve for x
    x = 67,924,024.98/6,909.80
  6. Step 6: Final answer
    x = 9,830.10

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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.