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Finding the Fourth Proportional to 9,145.76, 12,621.38 and 5,166.90

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Solution

The fourth proportional to 9,145.76, 12,621.38 and 5,166.90 is: 7,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.76 : 12,621.38 = 5,166.90 : x
  2. Step 2: Convert to fraction form
    9,145.76/12,621.38 = 5,166.90/x
  3. Step 3: Cross multiply
    9,145.76x = 12,621.38 × 5,166.90
  4. Step 4: Simplify right side
    9,145.76x = 65,213,382.49
  5. Step 5: Solve for x
    x = 65,213,382.49/9,145.76
  6. Step 6: Final answer
    x = 7,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.