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Finding the Fourth Proportional to 9,206.80, 12,709.66 and 5,428.70

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Solution

The fourth proportional to 9,206.80, 12,709.66 and 5,428.70 is: 7,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.80 : 12,709.66 = 5,428.70 : x
  2. Step 2: Convert to fraction form
    9,206.80/12,709.66 = 5,428.70/x
  3. Step 3: Cross multiply
    9,206.80x = 12,709.66 × 5,428.70
  4. Step 4: Simplify right side
    9,206.80x = 68,996,931.24
  5. Step 5: Solve for x
    x = 68,996,931.24/9,206.80
  6. Step 6: Final answer
    x = 7,494.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.