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Finding the Fourth Proportional to 9,568.04, 13,203.78 and 5,377

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Solution

The fourth proportional to 9,568.04, 13,203.78 and 5,377 is: 7,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.04 : 13,203.78 = 5,377 : x
  2. Step 2: Convert to fraction form
    9,568.04/13,203.78 = 5,377/x
  3. Step 3: Cross multiply
    9,568.04x = 13,203.78 × 5,377
  4. Step 4: Simplify right side
    9,568.04x = 70,996,725.06
  5. Step 5: Solve for x
    x = 70,996,725.06/9,568.04
  6. Step 6: Final answer
    x = 7,420.20

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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.