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Finding the Fourth Proportional to 6,457.26, 9,677.77 and 3,495.59

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Solution

The fourth proportional to 6,457.26, 9,677.77 and 3,495.59 is: 5,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.26 : 9,677.77 = 3,495.59 : x
  2. Step 2: Convert to fraction form
    6,457.26/9,677.77 = 3,495.59/x
  3. Step 3: Cross multiply
    6,457.26x = 9,677.77 × 3,495.59
  4. Step 4: Simplify right side
    6,457.26x = 33,829,458.91
  5. Step 5: Solve for x
    x = 33,829,458.91/6,457.26
  6. Step 6: Final answer
    x = 5,238.98

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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.