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Finding the Fourth Proportional to 9,406.08, 12,980.12 and 5,157.23

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Solution

The fourth proportional to 9,406.08, 12,980.12 and 5,157.23 is: 7,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.08 : 12,980.12 = 5,157.23 : x
  2. Step 2: Convert to fraction form
    9,406.08/12,980.12 = 5,157.23/x
  3. Step 3: Cross multiply
    9,406.08x = 12,980.12 × 5,157.23
  4. Step 4: Simplify right side
    9,406.08x = 66,941,373.58
  5. Step 5: Solve for x
    x = 66,941,373.58/9,406.08
  6. Step 6: Final answer
    x = 7,116.82

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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.