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Finding the Fourth Proportional to 9,511.93, 13,096.65 and 8,637.13

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Solution

The fourth proportional to 9,511.93, 13,096.65 and 8,637.13 is: 11,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.93 : 13,096.65 = 8,637.13 : x
  2. Step 2: Convert to fraction form
    9,511.93/13,096.65 = 8,637.13/x
  3. Step 3: Cross multiply
    9,511.93x = 13,096.65 × 8,637.13
  4. Step 4: Simplify right side
    9,511.93x = 113,117,468.61
  5. Step 5: Solve for x
    x = 113,117,468.61/9,511.93
  6. Step 6: Final answer
    x = 11,892.17

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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.