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Finding the Fourth Proportional to 9,476.84, 14,206.92 and 6,837.80

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Solution

The fourth proportional to 9,476.84, 14,206.92 and 6,837.80 is: 10,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.84 : 14,206.92 = 6,837.80 : x
  2. Step 2: Convert to fraction form
    9,476.84/14,206.92 = 6,837.80/x
  3. Step 3: Cross multiply
    9,476.84x = 14,206.92 × 6,837.80
  4. Step 4: Simplify right side
    9,476.84x = 97,144,077.58
  5. Step 5: Solve for x
    x = 97,144,077.58/9,476.84
  6. Step 6: Final answer
    x = 10,250.68

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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.