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Finding the Fourth Proportional to 9,634.64, 14,463.48 and 5,740.88

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Solution

The fourth proportional to 9,634.64, 14,463.48 and 5,740.88 is: 8,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.64 : 14,463.48 = 5,740.88 : x
  2. Step 2: Convert to fraction form
    9,634.64/14,463.48 = 5,740.88/x
  3. Step 3: Cross multiply
    9,634.64x = 14,463.48 × 5,740.88
  4. Step 4: Simplify right side
    9,634.64x = 83,033,103.06
  5. Step 5: Solve for x
    x = 83,033,103.06/9,634.64
  6. Step 6: Final answer
    x = 8,618.18

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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.