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Finding the Fourth Proportional to 9,446.64, 14,154.30 and 6,659.72

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Solution

The fourth proportional to 9,446.64, 14,154.30 and 6,659.72 is: 9,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.64 : 14,154.30 = 6,659.72 : x
  2. Step 2: Convert to fraction form
    9,446.64/14,154.30 = 6,659.72/x
  3. Step 3: Cross multiply
    9,446.64x = 14,154.30 × 6,659.72
  4. Step 4: Simplify right side
    9,446.64x = 94,263,674.80
  5. Step 5: Solve for x
    x = 94,263,674.80/9,446.64
  6. Step 6: Final answer
    x = 9,978.54

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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.