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Finding the Fourth Proportional to 9,146.94, 12,627.14 and 6,127.26

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Solution

The fourth proportional to 9,146.94, 12,627.14 and 6,127.26 is: 8,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.94 : 12,627.14 = 6,127.26 : x
  2. Step 2: Convert to fraction form
    9,146.94/12,627.14 = 6,127.26/x
  3. Step 3: Cross multiply
    9,146.94x = 12,627.14 × 6,127.26
  4. Step 4: Simplify right side
    9,146.94x = 77,369,739.20
  5. Step 5: Solve for x
    x = 77,369,739.20/9,146.94
  6. Step 6: Final answer
    x = 8,458.54

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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.