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Finding the Fourth Proportional to 12,275.37, 16,940.13 and 6,970.30

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Solution

The fourth proportional to 12,275.37, 16,940.13 and 6,970.30 is: 9,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.37 : 16,940.13 = 6,970.30 : x
  2. Step 2: Convert to fraction form
    12,275.37/16,940.13 = 6,970.30/x
  3. Step 3: Cross multiply
    12,275.37x = 16,940.13 × 6,970.30
  4. Step 4: Simplify right side
    12,275.37x = 118,077,719.65
  5. Step 5: Solve for x
    x = 118,077,719.65/12,275.37
  6. Step 6: Final answer
    x = 9,619.08

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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.