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Finding the Fourth Proportional to 9,841.60, 14,754.70 and 6,713.85

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Solution

The fourth proportional to 9,841.60, 14,754.70 and 6,713.85 is: 10,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.60 : 14,754.70 = 6,713.85 : x
  2. Step 2: Convert to fraction form
    9,841.60/14,754.70 = 6,713.85/x
  3. Step 3: Cross multiply
    9,841.60x = 14,754.70 × 6,713.85
  4. Step 4: Simplify right side
    9,841.60x = 99,060,809.03
  5. Step 5: Solve for x
    x = 99,060,809.03/9,841.60
  6. Step 6: Final answer
    x = 10,065.52

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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.