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Finding the Fourth Proportional to 12,609.72, 18,886.42 and 9,139

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Solution

The fourth proportional to 12,609.72, 18,886.42 and 9,139 is: 13,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.72 : 18,886.42 = 9,139 : x
  2. Step 2: Convert to fraction form
    12,609.72/18,886.42 = 9,139/x
  3. Step 3: Cross multiply
    12,609.72x = 18,886.42 × 9,139
  4. Step 4: Simplify right side
    12,609.72x = 172,602,992.38
  5. Step 5: Solve for x
    x = 172,602,992.38/12,609.72
  6. Step 6: Final answer
    x = 13,688.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.