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Finding the Fourth Proportional to 9,315.32, 12,838.68 and 8,229.12

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Solution

The fourth proportional to 9,315.32, 12,838.68 and 8,229.12 is: 11,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.32 : 12,838.68 = 8,229.12 : x
  2. Step 2: Convert to fraction form
    9,315.32/12,838.68 = 8,229.12/x
  3. Step 3: Cross multiply
    9,315.32x = 12,838.68 × 8,229.12
  4. Step 4: Simplify right side
    9,315.32x = 105,651,038.36
  5. Step 5: Solve for x
    x = 105,651,038.36/9,315.32
  6. Step 6: Final answer
    x = 11,341.64

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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.