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Finding the Fourth Proportional to 9,107.06, 13,662.93 and 4,946

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Solution

The fourth proportional to 9,107.06, 13,662.93 and 4,946 is: 7,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.06 : 13,662.93 = 4,946 : x
  2. Step 2: Convert to fraction form
    9,107.06/13,662.93 = 4,946/x
  3. Step 3: Cross multiply
    9,107.06x = 13,662.93 × 4,946
  4. Step 4: Simplify right side
    9,107.06x = 67,576,851.78
  5. Step 5: Solve for x
    x = 67,576,851.78/9,107.06
  6. Step 6: Final answer
    x = 7,420.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.