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Finding the Fourth Proportional to 6,541.22, 9,809.40 and 2,157.50

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Solution

The fourth proportional to 6,541.22, 9,809.40 and 2,157.50 is: 3,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.22 : 9,809.40 = 2,157.50 : x
  2. Step 2: Convert to fraction form
    6,541.22/9,809.40 = 2,157.50/x
  3. Step 3: Cross multiply
    6,541.22x = 9,809.40 × 2,157.50
  4. Step 4: Simplify right side
    6,541.22x = 21,163,780.50
  5. Step 5: Solve for x
    x = 21,163,780.50/6,541.22
  6. Step 6: Final answer
    x = 3,235.45

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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.