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Finding the Fourth Proportional to 9,182.81, 12,675.14 and 5,405.67

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Solution

The fourth proportional to 9,182.81, 12,675.14 and 5,405.67 is: 7,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.81 : 12,675.14 = 5,405.67 : x
  2. Step 2: Convert to fraction form
    9,182.81/12,675.14 = 5,405.67/x
  3. Step 3: Cross multiply
    9,182.81x = 12,675.14 × 5,405.67
  4. Step 4: Simplify right side
    9,182.81x = 68,517,597.02
  5. Step 5: Solve for x
    x = 68,517,597.02/9,182.81
  6. Step 6: Final answer
    x = 7,461.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.