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Finding the Fourth Proportional to 9,166.64, 13,749.92 and 6,237.68

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Solution

The fourth proportional to 9,166.64, 13,749.92 and 6,237.68 is: 9,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.64 : 13,749.92 = 6,237.68 : x
  2. Step 2: Convert to fraction form
    9,166.64/13,749.92 = 6,237.68/x
  3. Step 3: Cross multiply
    9,166.64x = 13,749.92 × 6,237.68
  4. Step 4: Simplify right side
    9,166.64x = 85,767,600.99
  5. Step 5: Solve for x
    x = 85,767,600.99/9,166.64
  6. Step 6: Final answer
    x = 9,356.49

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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.