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Finding the Fourth Proportional to 9,550, 13,180.44 and 5,826.16

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Solution

The fourth proportional to 9,550, 13,180.44 and 5,826.16 is: 8,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550 : 13,180.44 = 5,826.16 : x
  2. Step 2: Convert to fraction form
    9,550/13,180.44 = 5,826.16/x
  3. Step 3: Cross multiply
    9,550x = 13,180.44 × 5,826.16
  4. Step 4: Simplify right side
    9,550x = 76,791,352.31
  5. Step 5: Solve for x
    x = 76,791,352.31/9,550
  6. Step 6: Final answer
    x = 8,040.98

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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.