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Finding the Fourth Proportional to 9,732.64, 14,600 and 9,207.84

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Solution

The fourth proportional to 9,732.64, 14,600 and 9,207.84 is: 13,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.64 : 14,600 = 9,207.84 : x
  2. Step 2: Convert to fraction form
    9,732.64/14,600 = 9,207.84/x
  3. Step 3: Cross multiply
    9,732.64x = 14,600 × 9,207.84
  4. Step 4: Simplify right side
    9,732.64x = 134,434,464
  5. Step 5: Solve for x
    x = 134,434,464/9,732.64
  6. Step 6: Final answer
    x = 13,812.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.