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Finding the Fourth Proportional to 10,017.60, 13,784.43 and 9,713.24

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Solution

The fourth proportional to 10,017.60, 13,784.43 and 9,713.24 is: 13,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.60 : 13,784.43 = 9,713.24 : x
  2. Step 2: Convert to fraction form
    10,017.60/13,784.43 = 9,713.24/x
  3. Step 3: Cross multiply
    10,017.60x = 13,784.43 × 9,713.24
  4. Step 4: Simplify right side
    10,017.60x = 133,891,476.85
  5. Step 5: Solve for x
    x = 133,891,476.85/10,017.60
  6. Step 6: Final answer
    x = 13,365.62

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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.