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Finding the Fourth Proportional to 9,406.01, 12,979.53 and 5,157

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Solution

The fourth proportional to 9,406.01, 12,979.53 and 5,157 is: 7,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.01 : 12,979.53 = 5,157 : x
  2. Step 2: Convert to fraction form
    9,406.01/12,979.53 = 5,157/x
  3. Step 3: Cross multiply
    9,406.01x = 12,979.53 × 5,157
  4. Step 4: Simplify right side
    9,406.01x = 66,935,436.21
  5. Step 5: Solve for x
    x = 66,935,436.21/9,406.01
  6. Step 6: Final answer
    x = 7,116.24

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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.