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Finding the Fourth Proportional to 10,609.11, 14,634.68 and 9,858.24

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Solution

The fourth proportional to 10,609.11, 14,634.68 and 9,858.24 is: 13,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.11 : 14,634.68 = 9,858.24 : x
  2. Step 2: Convert to fraction form
    10,609.11/14,634.68 = 9,858.24/x
  3. Step 3: Cross multiply
    10,609.11x = 14,634.68 × 9,858.24
  4. Step 4: Simplify right side
    10,609.11x = 144,272,138.47
  5. Step 5: Solve for x
    x = 144,272,138.47/10,609.11
  6. Step 6: Final answer
    x = 13,598.89

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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.