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Finding the Fourth Proportional to 9,142.00, 13,712.80 and 4,211.64

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Solution

The fourth proportional to 9,142.00, 13,712.80 and 4,211.64 is: 6,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.00 : 13,712.80 = 4,211.64 : x
  2. Step 2: Convert to fraction form
    9,142.00/13,712.80 = 4,211.64/x
  3. Step 3: Cross multiply
    9,142.00x = 13,712.80 × 4,211.64
  4. Step 4: Simplify right side
    9,142.00x = 57,753,387.71
  5. Step 5: Solve for x
    x = 57,753,387.71/9,142.00
  6. Step 6: Final answer
    x = 6,317.37

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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.