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Finding the Fourth Proportional to 10,837.38, 14,898.16 and 9,319.38

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Solution

The fourth proportional to 10,837.38, 14,898.16 and 9,319.38 is: 12,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.38 : 14,898.16 = 9,319.38 : x
  2. Step 2: Convert to fraction form
    10,837.38/14,898.16 = 9,319.38/x
  3. Step 3: Cross multiply
    10,837.38x = 14,898.16 × 9,319.38
  4. Step 4: Simplify right side
    10,837.38x = 138,841,614.34
  5. Step 5: Solve for x
    x = 138,841,614.34/10,837.38
  6. Step 6: Final answer
    x = 12,811.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.