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Finding the Fourth Proportional to 10,419.80, 14,379.27 and 9,572.57

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Solution

The fourth proportional to 10,419.80, 14,379.27 and 9,572.57 is: 13,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.80 : 14,379.27 = 9,572.57 : x
  2. Step 2: Convert to fraction form
    10,419.80/14,379.27 = 9,572.57/x
  3. Step 3: Cross multiply
    10,419.80x = 14,379.27 × 9,572.57
  4. Step 4: Simplify right side
    10,419.80x = 137,646,496.73
  5. Step 5: Solve for x
    x = 137,646,496.73/10,419.80
  6. Step 6: Final answer
    x = 13,210.09

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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.