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Finding the Fourth Proportional to 6,969.36, 9,617.08 and 3,985.10

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Solution

The fourth proportional to 6,969.36, 9,617.08 and 3,985.10 is: 5,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.36 : 9,617.08 = 3,985.10 : x
  2. Step 2: Convert to fraction form
    6,969.36/9,617.08 = 3,985.10/x
  3. Step 3: Cross multiply
    6,969.36x = 9,617.08 × 3,985.10
  4. Step 4: Simplify right side
    6,969.36x = 38,325,025.51
  5. Step 5: Solve for x
    x = 38,325,025.51/6,969.36
  6. Step 6: Final answer
    x = 5,499.07

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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.