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Finding the Fourth Proportional to 9,406.02, 12,977.68 and 7,410.39

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Solution

The fourth proportional to 9,406.02, 12,977.68 and 7,410.39 is: 10,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.02 : 12,977.68 = 7,410.39 : x
  2. Step 2: Convert to fraction form
    9,406.02/12,977.68 = 7,410.39/x
  3. Step 3: Cross multiply
    9,406.02x = 12,977.68 × 7,410.39
  4. Step 4: Simplify right side
    9,406.02x = 96,169,670.10
  5. Step 5: Solve for x
    x = 96,169,670.10/9,406.02
  6. Step 6: Final answer
    x = 10,224.27

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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.