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Finding the Fourth Proportional to 9,641.19, 14,477.49 and 5,966.84

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Solution

The fourth proportional to 9,641.19, 14,477.49 and 5,966.84 is: 8,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.19 : 14,477.49 = 5,966.84 : x
  2. Step 2: Convert to fraction form
    9,641.19/14,477.49 = 5,966.84/x
  3. Step 3: Cross multiply
    9,641.19x = 14,477.49 × 5,966.84
  4. Step 4: Simplify right side
    9,641.19x = 86,384,794.04
  5. Step 5: Solve for x
    x = 86,384,794.04/9,641.19
  6. Step 6: Final answer
    x = 8,959.97

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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.