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Finding the Fourth Proportional to 9,577.84, 13,217.34 and 5,386

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Solution

The fourth proportional to 9,577.84, 13,217.34 and 5,386 is: 7,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.84 : 13,217.34 = 5,386 : x
  2. Step 2: Convert to fraction form
    9,577.84/13,217.34 = 5,386/x
  3. Step 3: Cross multiply
    9,577.84x = 13,217.34 × 5,386
  4. Step 4: Simplify right side
    9,577.84x = 71,188,593.24
  5. Step 5: Solve for x
    x = 71,188,593.24/9,577.84
  6. Step 6: Final answer
    x = 7,432.64

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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.