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Finding the Fourth Proportional to 9,406.33, 12,980.68 and 5,157.58

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Solution

The fourth proportional to 9,406.33, 12,980.68 and 5,157.58 is: 7,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.33 : 12,980.68 = 5,157.58 : x
  2. Step 2: Convert to fraction form
    9,406.33/12,980.68 = 5,157.58/x
  3. Step 3: Cross multiply
    9,406.33x = 12,980.68 × 5,157.58
  4. Step 4: Simplify right side
    9,406.33x = 66,948,895.55
  5. Step 5: Solve for x
    x = 66,948,895.55/9,406.33
  6. Step 6: Final answer
    x = 7,117.43

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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.