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Finding the Fourth Proportional to 9,157.72, 12,637.66 and 4,966

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Solution

The fourth proportional to 9,157.72, 12,637.66 and 4,966 is: 6,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.72 : 12,637.66 = 4,966 : x
  2. Step 2: Convert to fraction form
    9,157.72/12,637.66 = 4,966/x
  3. Step 3: Cross multiply
    9,157.72x = 12,637.66 × 4,966
  4. Step 4: Simplify right side
    9,157.72x = 62,758,619.56
  5. Step 5: Solve for x
    x = 62,758,619.56/9,157.72
  6. Step 6: Final answer
    x = 6,853.08

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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.