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Finding the Fourth Proportional to 11,946.72, 16,478.85 and 9,428.02

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Solution

The fourth proportional to 11,946.72, 16,478.85 and 9,428.02 is: 13,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.72 : 16,478.85 = 9,428.02 : x
  2. Step 2: Convert to fraction form
    11,946.72/16,478.85 = 9,428.02/x
  3. Step 3: Cross multiply
    11,946.72x = 16,478.85 × 9,428.02
  4. Step 4: Simplify right side
    11,946.72x = 155,362,927.38
  5. Step 5: Solve for x
    x = 155,362,927.38/11,946.72
  6. Step 6: Final answer
    x = 13,004.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.