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Finding the Fourth Proportional to 9,489.84, 13,095.30 and 5,511.32

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Solution

The fourth proportional to 9,489.84, 13,095.30 and 5,511.32 is: 7,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.84 : 13,095.30 = 5,511.32 : x
  2. Step 2: Convert to fraction form
    9,489.84/13,095.30 = 5,511.32/x
  3. Step 3: Cross multiply
    9,489.84x = 13,095.30 × 5,511.32
  4. Step 4: Simplify right side
    9,489.84x = 72,172,388.80
  5. Step 5: Solve for x
    x = 72,172,388.80/9,489.84
  6. Step 6: Final answer
    x = 7,605.23

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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.