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Finding the Fourth Proportional to 9,665.64, 14,382.68 and 9,632.84

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Solution

The fourth proportional to 9,665.64, 14,382.68 and 9,632.84 is: 14,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.64 : 14,382.68 = 9,632.84 : x
  2. Step 2: Convert to fraction form
    9,665.64/14,382.68 = 9,632.84/x
  3. Step 3: Cross multiply
    9,665.64x = 14,382.68 × 9,632.84
  4. Step 4: Simplify right side
    9,665.64x = 138,545,935.13
  5. Step 5: Solve for x
    x = 138,545,935.13/9,665.64
  6. Step 6: Final answer
    x = 14,333.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.