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Finding the Fourth Proportional to 9,643.84, 13,309.72 and 5,452

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Solution

The fourth proportional to 9,643.84, 13,309.72 and 5,452 is: 7,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.84 : 13,309.72 = 5,452 : x
  2. Step 2: Convert to fraction form
    9,643.84/13,309.72 = 5,452/x
  3. Step 3: Cross multiply
    9,643.84x = 13,309.72 × 5,452
  4. Step 4: Simplify right side
    9,643.84x = 72,564,593.44
  5. Step 5: Solve for x
    x = 72,564,593.44/9,643.84
  6. Step 6: Final answer
    x = 7,524.45

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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.