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Finding the Fourth Proportional to 9,157.45, 12,637.21 and 5,178.64

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Solution

The fourth proportional to 9,157.45, 12,637.21 and 5,178.64 is: 7,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.45 : 12,637.21 = 5,178.64 : x
  2. Step 2: Convert to fraction form
    9,157.45/12,637.21 = 5,178.64/x
  3. Step 3: Cross multiply
    9,157.45x = 12,637.21 × 5,178.64
  4. Step 4: Simplify right side
    9,157.45x = 65,443,561.19
  5. Step 5: Solve for x
    x = 65,443,561.19/9,157.45
  6. Step 6: Final answer
    x = 7,146.48

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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.