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Finding the Fourth Proportional to 9,816.02, 14,706.87 and 6,685.88

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Solution

The fourth proportional to 9,816.02, 14,706.87 and 6,685.88 is: 10,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.02 : 14,706.87 = 6,685.88 : x
  2. Step 2: Convert to fraction form
    9,816.02/14,706.87 = 6,685.88/x
  3. Step 3: Cross multiply
    9,816.02x = 14,706.87 × 6,685.88
  4. Step 4: Simplify right side
    9,816.02x = 98,328,269.39
  5. Step 5: Solve for x
    x = 98,328,269.39/9,816.02
  6. Step 6: Final answer
    x = 10,017.12

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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.