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Finding the Fourth Proportional to 9,464.64, 14,186.76 and 4,523.77

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Solution

The fourth proportional to 9,464.64, 14,186.76 and 4,523.77 is: 6,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.64 : 14,186.76 = 4,523.77 : x
  2. Step 2: Convert to fraction form
    9,464.64/14,186.76 = 4,523.77/x
  3. Step 3: Cross multiply
    9,464.64x = 14,186.76 × 4,523.77
  4. Step 4: Simplify right side
    9,464.64x = 64,177,639.29
  5. Step 5: Solve for x
    x = 64,177,639.29/9,464.64
  6. Step 6: Final answer
    x = 6,780.78

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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.