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Finding the Fourth Proportional to 6,539.16, 9,807.66 and 2,156.68

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Solution

The fourth proportional to 6,539.16, 9,807.66 and 2,156.68 is: 3,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.16 : 9,807.66 = 2,156.68 : x
  2. Step 2: Convert to fraction form
    6,539.16/9,807.66 = 2,156.68/x
  3. Step 3: Cross multiply
    6,539.16x = 9,807.66 × 2,156.68
  4. Step 4: Simplify right side
    6,539.16x = 21,151,984.17
  5. Step 5: Solve for x
    x = 21,151,984.17/6,539.16
  6. Step 6: Final answer
    x = 3,234.66

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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.