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Finding the Fourth Proportional to 6,966.36, 9,615.42 and 4,312.26

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Solution

The fourth proportional to 6,966.36, 9,615.42 and 4,312.26 is: 5,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.36 : 9,615.42 = 4,312.26 : x
  2. Step 2: Convert to fraction form
    6,966.36/9,615.42 = 4,312.26/x
  3. Step 3: Cross multiply
    6,966.36x = 9,615.42 × 4,312.26
  4. Step 4: Simplify right side
    6,966.36x = 41,464,191.05
  5. Step 5: Solve for x
    x = 41,464,191.05/6,966.36
  6. Step 6: Final answer
    x = 5,952.06

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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.