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Finding the Fourth Proportional to 9,211.84, 13,820.45 and 2,971.72

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Solution

The fourth proportional to 9,211.84, 13,820.45 and 2,971.72 is: 4,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.84 : 13,820.45 = 2,971.72 : x
  2. Step 2: Convert to fraction form
    9,211.84/13,820.45 = 2,971.72/x
  3. Step 3: Cross multiply
    9,211.84x = 13,820.45 × 2,971.72
  4. Step 4: Simplify right side
    9,211.84x = 41,070,438.57
  5. Step 5: Solve for x
    x = 41,070,438.57/9,211.84
  6. Step 6: Final answer
    x = 4,458.44

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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.