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Finding the Fourth Proportional to 6,971.78, 9,623.68 and 4,617.12

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Solution

The fourth proportional to 6,971.78, 9,623.68 and 4,617.12 is: 6,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.78 : 9,623.68 = 4,617.12 : x
  2. Step 2: Convert to fraction form
    6,971.78/9,623.68 = 4,617.12/x
  3. Step 3: Cross multiply
    6,971.78x = 9,623.68 × 4,617.12
  4. Step 4: Simplify right side
    6,971.78x = 44,433,685.40
  5. Step 5: Solve for x
    x = 44,433,685.40/6,971.78
  6. Step 6: Final answer
    x = 6,373.36

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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.