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Finding the Fourth Proportional to 9,290.65, 13,931.19 and 3,742.50

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Solution

The fourth proportional to 9,290.65, 13,931.19 and 3,742.50 is: 5,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.65 : 13,931.19 = 3,742.50 : x
  2. Step 2: Convert to fraction form
    9,290.65/13,931.19 = 3,742.50/x
  3. Step 3: Cross multiply
    9,290.65x = 13,931.19 × 3,742.50
  4. Step 4: Simplify right side
    9,290.65x = 52,137,530.82
  5. Step 5: Solve for x
    x = 52,137,530.82/9,290.65
  6. Step 6: Final answer
    x = 5,611.83

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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.