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Finding the Fourth Proportional to 6,701.40, 9,236.40 and 4,459.26

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Solution

The fourth proportional to 6,701.40, 9,236.40 and 4,459.26 is: 6,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.40 : 9,236.40 = 4,459.26 : x
  2. Step 2: Convert to fraction form
    6,701.40/9,236.40 = 4,459.26/x
  3. Step 3: Cross multiply
    6,701.40x = 9,236.40 × 4,459.26
  4. Step 4: Simplify right side
    6,701.40x = 41,187,509.06
  5. Step 5: Solve for x
    x = 41,187,509.06/6,701.40
  6. Step 6: Final answer
    x = 6,146.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.