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Finding the Fourth Proportional to 9,131.34, 12,594.74 and 8,826.50

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Solution

The fourth proportional to 9,131.34, 12,594.74 and 8,826.50 is: 12,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.34 : 12,594.74 = 8,826.50 : x
  2. Step 2: Convert to fraction form
    9,131.34/12,594.74 = 8,826.50/x
  3. Step 3: Cross multiply
    9,131.34x = 12,594.74 × 8,826.50
  4. Step 4: Simplify right side
    9,131.34x = 111,167,472.61
  5. Step 5: Solve for x
    x = 111,167,472.61/9,131.34
  6. Step 6: Final answer
    x = 12,174.28

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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.