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Finding the Fourth Proportional to 9,157.93, 12,637.82 and 4,966.18

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Solution

The fourth proportional to 9,157.93, 12,637.82 and 4,966.18 is: 6,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.93 : 12,637.82 = 4,966.18 : x
  2. Step 2: Convert to fraction form
    9,157.93/12,637.82 = 4,966.18/x
  3. Step 3: Cross multiply
    9,157.93x = 12,637.82 × 4,966.18
  4. Step 4: Simplify right side
    9,157.93x = 62,761,669.75
  5. Step 5: Solve for x
    x = 62,761,669.75/9,157.93
  6. Step 6: Final answer
    x = 6,853.26

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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.