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Finding the Fourth Proportional to 9,140.16, 12,606.90 and 5,738.16

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Solution

The fourth proportional to 9,140.16, 12,606.90 and 5,738.16 is: 7,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.16 : 12,606.90 = 5,738.16 : x
  2. Step 2: Convert to fraction form
    9,140.16/12,606.90 = 5,738.16/x
  3. Step 3: Cross multiply
    9,140.16x = 12,606.90 × 5,738.16
  4. Step 4: Simplify right side
    9,140.16x = 72,340,409.30
  5. Step 5: Solve for x
    x = 72,340,409.30/9,140.16
  6. Step 6: Final answer
    x = 7,914.57

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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.