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Finding the Fourth Proportional to 12,252.69, 16,908.92 and 6,947.40

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Solution

The fourth proportional to 12,252.69, 16,908.92 and 6,947.40 is: 9,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.69 : 16,908.92 = 6,947.40 : x
  2. Step 2: Convert to fraction form
    12,252.69/16,908.92 = 6,947.40/x
  3. Step 3: Cross multiply
    12,252.69x = 16,908.92 × 6,947.40
  4. Step 4: Simplify right side
    12,252.69x = 117,473,030.81
  5. Step 5: Solve for x
    x = 117,473,030.81/12,252.69
  6. Step 6: Final answer
    x = 9,587.53

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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.