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Finding the Fourth Proportional to 9,406.05, 12,971.30 and 6,851.40

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Solution

The fourth proportional to 9,406.05, 12,971.30 and 6,851.40 is: 9,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.05 : 12,971.30 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    9,406.05/12,971.30 = 6,851.40/x
  3. Step 3: Cross multiply
    9,406.05x = 12,971.30 × 6,851.40
  4. Step 4: Simplify right side
    9,406.05x = 88,871,564.82
  5. Step 5: Solve for x
    x = 88,871,564.82/9,406.05
  6. Step 6: Final answer
    x = 9,448.34

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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.