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Finding the Fourth Proportional to 9,568.40, 13,203.95 and 5,319.72

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Solution

The fourth proportional to 9,568.40, 13,203.95 and 5,319.72 is: 7,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.40 : 13,203.95 = 5,319.72 : x
  2. Step 2: Convert to fraction form
    9,568.40/13,203.95 = 5,319.72/x
  3. Step 3: Cross multiply
    9,568.40x = 13,203.95 × 5,319.72
  4. Step 4: Simplify right side
    9,568.40x = 70,241,290.30
  5. Step 5: Solve for x
    x = 70,241,290.30/9,568.40
  6. Step 6: Final answer
    x = 7,340.97

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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.