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Finding the Fourth Proportional to 6,970.42, 9,619.77 and 3,827.17

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Solution

The fourth proportional to 6,970.42, 9,619.77 and 3,827.17 is: 5,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.42 : 9,619.77 = 3,827.17 : x
  2. Step 2: Convert to fraction form
    6,970.42/9,619.77 = 3,827.17/x
  3. Step 3: Cross multiply
    6,970.42x = 9,619.77 × 3,827.17
  4. Step 4: Simplify right side
    6,970.42x = 36,816,495.15
  5. Step 5: Solve for x
    x = 36,816,495.15/6,970.42
  6. Step 6: Final answer
    x = 5,281.82

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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.