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Finding the Fourth Proportional to 6,970.64, 9,618.92 and 3,826.72

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Solution

The fourth proportional to 6,970.64, 9,618.92 and 3,826.72 is: 5,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.64 : 9,618.92 = 3,826.72 : x
  2. Step 2: Convert to fraction form
    6,970.64/9,618.92 = 3,826.72/x
  3. Step 3: Cross multiply
    6,970.64x = 9,618.92 × 3,826.72
  4. Step 4: Simplify right side
    6,970.64x = 36,808,913.54
  5. Step 5: Solve for x
    x = 36,808,913.54/6,970.64
  6. Step 6: Final answer
    x = 5,280.56

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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.