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Finding the Fourth Proportional to 9,157.35, 12,637.17 and 5,178.72

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Solution

The fourth proportional to 9,157.35, 12,637.17 and 5,178.72 is: 7,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.35 : 12,637.17 = 5,178.72 : x
  2. Step 2: Convert to fraction form
    9,157.35/12,637.17 = 5,178.72/x
  3. Step 3: Cross multiply
    9,157.35x = 12,637.17 × 5,178.72
  4. Step 4: Simplify right side
    9,157.35x = 65,444,365.02
  5. Step 5: Solve for x
    x = 65,444,365.02/9,157.35
  6. Step 6: Final answer
    x = 7,146.65

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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.