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Finding the Fourth Proportional to 9,624.76, 14,426.19 and 4,074.64

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Solution

The fourth proportional to 9,624.76, 14,426.19 and 4,074.64 is: 6,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.76 : 14,426.19 = 4,074.64 : x
  2. Step 2: Convert to fraction form
    9,624.76/14,426.19 = 4,074.64/x
  3. Step 3: Cross multiply
    9,624.76x = 14,426.19 × 4,074.64
  4. Step 4: Simplify right side
    9,624.76x = 58,781,530.82
  5. Step 5: Solve for x
    x = 58,781,530.82/9,624.76
  6. Step 6: Final answer
    x = 6,107.32

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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.