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Finding the Fourth Proportional to 9,353.64, 12,892.86 and 8,828.76

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Solution

The fourth proportional to 9,353.64, 12,892.86 and 8,828.76 is: 12,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.64 : 12,892.86 = 8,828.76 : x
  2. Step 2: Convert to fraction form
    9,353.64/12,892.86 = 8,828.76/x
  3. Step 3: Cross multiply
    9,353.64x = 12,892.86 × 8,828.76
  4. Step 4: Simplify right side
    9,353.64x = 113,827,966.65
  5. Step 5: Solve for x
    x = 113,827,966.65/9,353.64
  6. Step 6: Final answer
    x = 12,169.38

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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.