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Finding the Fourth Proportional to 9,646.04, 14,382.41 and 8,822.27

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Solution

The fourth proportional to 9,646.04, 14,382.41 and 8,822.27 is: 13,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.04 : 14,382.41 = 8,822.27 : x
  2. Step 2: Convert to fraction form
    9,646.04/14,382.41 = 8,822.27/x
  3. Step 3: Cross multiply
    9,646.04x = 14,382.41 × 8,822.27
  4. Step 4: Simplify right side
    9,646.04x = 126,885,496.12
  5. Step 5: Solve for x
    x = 126,885,496.12/9,646.04
  6. Step 6: Final answer
    x = 13,154.15

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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.