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Finding the Fourth Proportional to 6,970.77, 9,619.74 and 3,826.98

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Solution

The fourth proportional to 6,970.77, 9,619.74 and 3,826.98 is: 5,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.77 : 9,619.74 = 3,826.98 : x
  2. Step 2: Convert to fraction form
    6,970.77/9,619.74 = 3,826.98/x
  3. Step 3: Cross multiply
    6,970.77x = 9,619.74 × 3,826.98
  4. Step 4: Simplify right side
    6,970.77x = 36,814,552.59
  5. Step 5: Solve for x
    x = 36,814,552.59/6,970.77
  6. Step 6: Final answer
    x = 5,281.27

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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.