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Finding the Fourth Proportional to 9,161.64, 13,742.46 and 5,263.56

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Solution

The fourth proportional to 9,161.64, 13,742.46 and 5,263.56 is: 7,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.64 : 13,742.46 = 5,263.56 : x
  2. Step 2: Convert to fraction form
    9,161.64/13,742.46 = 5,263.56/x
  3. Step 3: Cross multiply
    9,161.64x = 13,742.46 × 5,263.56
  4. Step 4: Simplify right side
    9,161.64x = 72,334,262.76
  5. Step 5: Solve for x
    x = 72,334,262.76/9,161.64
  6. Step 6: Final answer
    x = 7,895.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.