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Finding the Fourth Proportional to 10,538.13, 14,609.21 and 9,976.34

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Solution

The fourth proportional to 10,538.13, 14,609.21 and 9,976.34 is: 13,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.13 : 14,609.21 = 9,976.34 : x
  2. Step 2: Convert to fraction form
    10,538.13/14,609.21 = 9,976.34/x
  3. Step 3: Cross multiply
    10,538.13x = 14,609.21 × 9,976.34
  4. Step 4: Simplify right side
    10,538.13x = 145,746,323.16
  5. Step 5: Solve for x
    x = 145,746,323.16/10,538.13
  6. Step 6: Final answer
    x = 13,830.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.