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Finding the Fourth Proportional to 12,275.34, 16,940.08 and 6,970.27

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Solution

The fourth proportional to 12,275.34, 16,940.08 and 6,970.27 is: 9,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.34 : 16,940.08 = 6,970.27 : x
  2. Step 2: Convert to fraction form
    12,275.34/16,940.08 = 6,970.27/x
  3. Step 3: Cross multiply
    12,275.34x = 16,940.08 × 6,970.27
  4. Step 4: Simplify right side
    12,275.34x = 118,076,931.42
  5. Step 5: Solve for x
    x = 118,076,931.42/12,275.34
  6. Step 6: Final answer
    x = 9,619.04

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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.