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Finding the Fourth Proportional to 9,416.10, 12,996.75 and 5,639.40

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Solution

The fourth proportional to 9,416.10, 12,996.75 and 5,639.40 is: 7,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.10 : 12,996.75 = 5,639.40 : x
  2. Step 2: Convert to fraction form
    9,416.10/12,996.75 = 5,639.40/x
  3. Step 3: Cross multiply
    9,416.10x = 12,996.75 × 5,639.40
  4. Step 4: Simplify right side
    9,416.10x = 73,293,871.95
  5. Step 5: Solve for x
    x = 73,293,871.95/9,416.10
  6. Step 6: Final answer
    x = 7,783.89

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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.