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Finding the Fourth Proportional to 6,457.66, 9,688.38 and 3,339.43

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Solution

The fourth proportional to 6,457.66, 9,688.38 and 3,339.43 is: 5,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.66 : 9,688.38 = 3,339.43 : x
  2. Step 2: Convert to fraction form
    6,457.66/9,688.38 = 3,339.43/x
  3. Step 3: Cross multiply
    6,457.66x = 9,688.38 × 3,339.43
  4. Step 4: Simplify right side
    6,457.66x = 32,353,666.82
  5. Step 5: Solve for x
    x = 32,353,666.82/6,457.66
  6. Step 6: Final answer
    x = 5,010.12

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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.