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Finding the Fourth Proportional to 9,107.45, 13,663.23 and 2,782.90

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Solution

The fourth proportional to 9,107.45, 13,663.23 and 2,782.90 is: 4,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.45 : 13,663.23 = 2,782.90 : x
  2. Step 2: Convert to fraction form
    9,107.45/13,663.23 = 2,782.90/x
  3. Step 3: Cross multiply
    9,107.45x = 13,663.23 × 2,782.90
  4. Step 4: Simplify right side
    9,107.45x = 38,023,402.77
  5. Step 5: Solve for x
    x = 38,023,402.77/9,107.45
  6. Step 6: Final answer
    x = 4,174.98

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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.