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Finding the Fourth Proportional to 9,219.76, 12,723.14 and 5,028

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Solution

The fourth proportional to 9,219.76, 12,723.14 and 5,028 is: 6,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.76 : 12,723.14 = 5,028 : x
  2. Step 2: Convert to fraction form
    9,219.76/12,723.14 = 5,028/x
  3. Step 3: Cross multiply
    9,219.76x = 12,723.14 × 5,028
  4. Step 4: Simplify right side
    9,219.76x = 63,971,947.92
  5. Step 5: Solve for x
    x = 63,971,947.92/9,219.76
  6. Step 6: Final answer
    x = 6,938.57

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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.