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Finding the Fourth Proportional to 9,157.56, 12,637.38 and 4,965.72

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Solution

The fourth proportional to 9,157.56, 12,637.38 and 4,965.72 is: 6,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.56 : 12,637.38 = 4,965.72 : x
  2. Step 2: Convert to fraction form
    9,157.56/12,637.38 = 4,965.72/x
  3. Step 3: Cross multiply
    9,157.56x = 12,637.38 × 4,965.72
  4. Step 4: Simplify right side
    9,157.56x = 62,753,690.61
  5. Step 5: Solve for x
    x = 62,753,690.61/9,157.56
  6. Step 6: Final answer
    x = 6,852.66

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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.