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Finding the Fourth Proportional to 9,518.27, 13,133.93 and 5,536.31

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Solution

The fourth proportional to 9,518.27, 13,133.93 and 5,536.31 is: 7,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.27 : 13,133.93 = 5,536.31 : x
  2. Step 2: Convert to fraction form
    9,518.27/13,133.93 = 5,536.31/x
  3. Step 3: Cross multiply
    9,518.27x = 13,133.93 × 5,536.31
  4. Step 4: Simplify right side
    9,518.27x = 72,713,513.15
  5. Step 5: Solve for x
    x = 72,713,513.15/9,518.27
  6. Step 6: Final answer
    x = 7,639.36

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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.