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Finding the Fourth Proportional to 9,116.66, 13,674.99 and 3,271.88

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Solution

The fourth proportional to 9,116.66, 13,674.99 and 3,271.88 is: 4,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.66 : 13,674.99 = 3,271.88 : x
  2. Step 2: Convert to fraction form
    9,116.66/13,674.99 = 3,271.88/x
  3. Step 3: Cross multiply
    9,116.66x = 13,674.99 × 3,271.88
  4. Step 4: Simplify right side
    9,116.66x = 44,742,926.28
  5. Step 5: Solve for x
    x = 44,742,926.28/9,116.66
  6. Step 6: Final answer
    x = 4,907.82

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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.