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Finding the Fourth Proportional to 9,810.88, 14,711.70 and 3,566.50

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Solution

The fourth proportional to 9,810.88, 14,711.70 and 3,566.50 is: 5,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.88 : 14,711.70 = 3,566.50 : x
  2. Step 2: Convert to fraction form
    9,810.88/14,711.70 = 3,566.50/x
  3. Step 3: Cross multiply
    9,810.88x = 14,711.70 × 3,566.50
  4. Step 4: Simplify right side
    9,810.88x = 52,469,278.05
  5. Step 5: Solve for x
    x = 52,469,278.05/9,810.88
  6. Step 6: Final answer
    x = 5,348.07

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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.