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Finding the Fourth Proportional to 6,970.29, 9,617.13 and 4,135.30

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Solution

The fourth proportional to 6,970.29, 9,617.13 and 4,135.30 is: 5,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.29 : 9,617.13 = 4,135.30 : x
  2. Step 2: Convert to fraction form
    6,970.29/9,617.13 = 4,135.30/x
  3. Step 3: Cross multiply
    6,970.29x = 9,617.13 × 4,135.30
  4. Step 4: Simplify right side
    6,970.29x = 39,769,717.69
  5. Step 5: Solve for x
    x = 39,769,717.69/6,970.29
  6. Step 6: Final answer
    x = 5,705.60

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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.