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Finding the Fourth Proportional to 9,683.84, 13,363.44 and 5,492

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Solution

The fourth proportional to 9,683.84, 13,363.44 and 5,492 is: 7,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.84 : 13,363.44 = 5,492 : x
  2. Step 2: Convert to fraction form
    9,683.84/13,363.44 = 5,492/x
  3. Step 3: Cross multiply
    9,683.84x = 13,363.44 × 5,492
  4. Step 4: Simplify right side
    9,683.84x = 73,392,012.48
  5. Step 5: Solve for x
    x = 73,392,012.48/9,683.84
  6. Step 6: Final answer
    x = 7,578.81

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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.