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Finding the Fourth Proportional to 9,206.60, 13,785.60 and 7,246.40

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Solution

The fourth proportional to 9,206.60, 13,785.60 and 7,246.40 is: 10,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.60 : 13,785.60 = 7,246.40 : x
  2. Step 2: Convert to fraction form
    9,206.60/13,785.60 = 7,246.40/x
  3. Step 3: Cross multiply
    9,206.60x = 13,785.60 × 7,246.40
  4. Step 4: Simplify right side
    9,206.60x = 99,895,971.84
  5. Step 5: Solve for x
    x = 99,895,971.84/9,206.60
  6. Step 6: Final answer
    x = 10,850.47

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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.