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Finding the Fourth Proportional to 9,167.40, 12,650.95 and 5,188.43

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Solution

The fourth proportional to 9,167.40, 12,650.95 and 5,188.43 is: 7,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.40 : 12,650.95 = 5,188.43 : x
  2. Step 2: Convert to fraction form
    9,167.40/12,650.95 = 5,188.43/x
  3. Step 3: Cross multiply
    9,167.40x = 12,650.95 × 5,188.43
  4. Step 4: Simplify right side
    9,167.40x = 65,638,606.62
  5. Step 5: Solve for x
    x = 65,638,606.62/9,167.40
  6. Step 6: Final answer
    x = 7,160.00

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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.