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Finding the Fourth Proportional to 6,272.17, 9,405.52 and 3,459.17

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Solution

The fourth proportional to 6,272.17, 9,405.52 and 3,459.17 is: 5,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.17 : 9,405.52 = 3,459.17 : x
  2. Step 2: Convert to fraction form
    6,272.17/9,405.52 = 3,459.17/x
  3. Step 3: Cross multiply
    6,272.17x = 9,405.52 × 3,459.17
  4. Step 4: Simplify right side
    6,272.17x = 32,535,307.48
  5. Step 5: Solve for x
    x = 32,535,307.48/6,272.17
  6. Step 6: Final answer
    x = 5,187.25

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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.