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Finding the Fourth Proportional to 9,449.71, 13,041.64 and 5,201.11

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Solution

The fourth proportional to 9,449.71, 13,041.64 and 5,201.11 is: 7,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.71 : 13,041.64 = 5,201.11 : x
  2. Step 2: Convert to fraction form
    9,449.71/13,041.64 = 5,201.11/x
  3. Step 3: Cross multiply
    9,449.71x = 13,041.64 × 5,201.11
  4. Step 4: Simplify right side
    9,449.71x = 67,831,027.02
  5. Step 5: Solve for x
    x = 67,831,027.02/9,449.71
  6. Step 6: Final answer
    x = 7,178.10

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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.