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Finding the Fourth Proportional to 9,361.46, 12,920.99 and 5,384.88

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Solution

The fourth proportional to 9,361.46, 12,920.99 and 5,384.88 is: 7,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.46 : 12,920.99 = 5,384.88 : x
  2. Step 2: Convert to fraction form
    9,361.46/12,920.99 = 5,384.88/x
  3. Step 3: Cross multiply
    9,361.46x = 12,920.99 × 5,384.88
  4. Step 4: Simplify right side
    9,361.46x = 69,577,953.71
  5. Step 5: Solve for x
    x = 69,577,953.71/9,361.46
  6. Step 6: Final answer
    x = 7,432.38

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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.