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Finding the Fourth Proportional to 9,305.84, 12,842.16 and 5,114

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Solution

The fourth proportional to 9,305.84, 12,842.16 and 5,114 is: 7,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.84 : 12,842.16 = 5,114 : x
  2. Step 2: Convert to fraction form
    9,305.84/12,842.16 = 5,114/x
  3. Step 3: Cross multiply
    9,305.84x = 12,842.16 × 5,114
  4. Step 4: Simplify right side
    9,305.84x = 65,674,806.24
  5. Step 5: Solve for x
    x = 65,674,806.24/9,305.84
  6. Step 6: Final answer
    x = 7,057.38

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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.