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Finding the Fourth Proportional to 9,486.81, 13,092.31 and 5,509.17

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Solution

The fourth proportional to 9,486.81, 13,092.31 and 5,509.17 is: 7,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.81 : 13,092.31 = 5,509.17 : x
  2. Step 2: Convert to fraction form
    9,486.81/13,092.31 = 5,509.17/x
  3. Step 3: Cross multiply
    9,486.81x = 13,092.31 × 5,509.17
  4. Step 4: Simplify right side
    9,486.81x = 72,127,733.94
  5. Step 5: Solve for x
    x = 72,127,733.94/9,486.81
  6. Step 6: Final answer
    x = 7,602.95

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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.