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Finding the Fourth Proportional to 9,157.26, 12,637.02 and 4,965.48

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Solution

The fourth proportional to 9,157.26, 12,637.02 and 4,965.48 is: 6,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.26 : 12,637.02 = 4,965.48 : x
  2. Step 2: Convert to fraction form
    9,157.26/12,637.02 = 4,965.48/x
  3. Step 3: Cross multiply
    9,157.26x = 12,637.02 × 4,965.48
  4. Step 4: Simplify right side
    9,157.26x = 62,748,870.07
  5. Step 5: Solve for x
    x = 62,748,870.07/9,157.26
  6. Step 6: Final answer
    x = 6,852.36

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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.