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Finding the Fourth Proportional to 6,140.34, 9,211.05 and 1,980.72

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Solution

The fourth proportional to 6,140.34, 9,211.05 and 1,980.72 is: 2,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.34 : 9,211.05 = 1,980.72 : x
  2. Step 2: Convert to fraction form
    6,140.34/9,211.05 = 1,980.72/x
  3. Step 3: Cross multiply
    6,140.34x = 9,211.05 × 1,980.72
  4. Step 4: Simplify right side
    6,140.34x = 18,244,510.96
  5. Step 5: Solve for x
    x = 18,244,510.96/6,140.34
  6. Step 6: Final answer
    x = 2,971.25

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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.