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Finding the Fourth Proportional to 9,550, 13,180.58 and 5,571.11

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Solution

The fourth proportional to 9,550, 13,180.58 and 5,571.11 is: 7,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550 : 13,180.58 = 5,571.11 : x
  2. Step 2: Convert to fraction form
    9,550/13,180.58 = 5,571.11/x
  3. Step 3: Cross multiply
    9,550x = 13,180.58 × 5,571.11
  4. Step 4: Simplify right side
    9,550x = 73,430,461.04
  5. Step 5: Solve for x
    x = 73,430,461.04/9,550
  6. Step 6: Final answer
    x = 7,689.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.