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Finding the Fourth Proportional to 9,406.76, 14,097.84 and 5,246.60

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Solution

The fourth proportional to 9,406.76, 14,097.84 and 5,246.60 is: 7,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.76 : 14,097.84 = 5,246.60 : x
  2. Step 2: Convert to fraction form
    9,406.76/14,097.84 = 5,246.60/x
  3. Step 3: Cross multiply
    9,406.76x = 14,097.84 × 5,246.60
  4. Step 4: Simplify right side
    9,406.76x = 73,965,727.34
  5. Step 5: Solve for x
    x = 73,965,727.34/9,406.76
  6. Step 6: Final answer
    x = 7,863.04

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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.