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Finding the Fourth Proportional to 9,926.84, 14,881.68 and 5,709.20

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Solution

The fourth proportional to 9,926.84, 14,881.68 and 5,709.20 is: 8,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.84 : 14,881.68 = 5,709.20 : x
  2. Step 2: Convert to fraction form
    9,926.84/14,881.68 = 5,709.20/x
  3. Step 3: Cross multiply
    9,926.84x = 14,881.68 × 5,709.20
  4. Step 4: Simplify right side
    9,926.84x = 84,962,487.46
  5. Step 5: Solve for x
    x = 84,962,487.46/9,926.84
  6. Step 6: Final answer
    x = 8,558.87

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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.