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Finding the Fourth Proportional to 6,134.77, 8,457.47 and 4,142.17

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Solution

The fourth proportional to 6,134.77, 8,457.47 and 4,142.17 is: 5,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.77 : 8,457.47 = 4,142.17 : x
  2. Step 2: Convert to fraction form
    6,134.77/8,457.47 = 4,142.17/x
  3. Step 3: Cross multiply
    6,134.77x = 8,457.47 × 4,142.17
  4. Step 4: Simplify right side
    6,134.77x = 35,032,236.22
  5. Step 5: Solve for x
    x = 35,032,236.22/6,134.77
  6. Step 6: Final answer
    x = 5,710.44

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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.