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Finding the Fourth Proportional to 9,135.63, 13,703.67 and 7,262.82

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Solution

The fourth proportional to 9,135.63, 13,703.67 and 7,262.82 is: 10,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.63 : 13,703.67 = 7,262.82 : x
  2. Step 2: Convert to fraction form
    9,135.63/13,703.67 = 7,262.82/x
  3. Step 3: Cross multiply
    9,135.63x = 13,703.67 × 7,262.82
  4. Step 4: Simplify right side
    9,135.63x = 99,527,288.55
  5. Step 5: Solve for x
    x = 99,527,288.55/9,135.63
  6. Step 6: Final answer
    x = 10,894.41

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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.