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Finding the Fourth Proportional to 9,431.17, 13,014.95 and 5,182.27

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Solution

The fourth proportional to 9,431.17, 13,014.95 and 5,182.27 is: 7,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.17 : 13,014.95 = 5,182.27 : x
  2. Step 2: Convert to fraction form
    9,431.17/13,014.95 = 5,182.27/x
  3. Step 3: Cross multiply
    9,431.17x = 13,014.95 × 5,182.27
  4. Step 4: Simplify right side
    9,431.17x = 67,446,999.70
  5. Step 5: Solve for x
    x = 67,446,999.70/9,431.17
  6. Step 6: Final answer
    x = 7,151.50

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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.