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Finding the Fourth Proportional to 9,562.84, 13,197.90 and 5,371

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Solution

The fourth proportional to 9,562.84, 13,197.90 and 5,371 is: 7,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.84 : 13,197.90 = 5,371 : x
  2. Step 2: Convert to fraction form
    9,562.84/13,197.90 = 5,371/x
  3. Step 3: Cross multiply
    9,562.84x = 13,197.90 × 5,371
  4. Step 4: Simplify right side
    9,562.84x = 70,885,920.90
  5. Step 5: Solve for x
    x = 70,885,920.90/9,562.84
  6. Step 6: Final answer
    x = 7,412.64

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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.