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Finding the Fourth Proportional to 6,970.02, 9,618.78 and 3,826.26

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Solution

The fourth proportional to 6,970.02, 9,618.78 and 3,826.26 is: 5,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.02 : 9,618.78 = 3,826.26 : x
  2. Step 2: Convert to fraction form
    6,970.02/9,618.78 = 3,826.26/x
  3. Step 3: Cross multiply
    6,970.02x = 9,618.78 × 3,826.26
  4. Step 4: Simplify right side
    6,970.02x = 36,803,953.16
  5. Step 5: Solve for x
    x = 36,803,953.16/6,970.02
  6. Step 6: Final answer
    x = 5,280.32

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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.