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Finding the Fourth Proportional to 10,145.34, 13,999.53 and 6,961.37

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Solution

The fourth proportional to 10,145.34, 13,999.53 and 6,961.37 is: 9,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.34 : 13,999.53 = 6,961.37 : x
  2. Step 2: Convert to fraction form
    10,145.34/13,999.53 = 6,961.37/x
  3. Step 3: Cross multiply
    10,145.34x = 13,999.53 × 6,961.37
  4. Step 4: Simplify right side
    10,145.34x = 97,455,838.16
  5. Step 5: Solve for x
    x = 97,455,838.16/10,145.34
  6. Step 6: Final answer
    x = 9,605.97

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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.