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Finding the Fourth Proportional to 9,504.47, 13,097.89 and 6,705.11

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Solution

The fourth proportional to 9,504.47, 13,097.89 and 6,705.11 is: 9,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.47 : 13,097.89 = 6,705.11 : x
  2. Step 2: Convert to fraction form
    9,504.47/13,097.89 = 6,705.11/x
  3. Step 3: Cross multiply
    9,504.47x = 13,097.89 × 6,705.11
  4. Step 4: Simplify right side
    9,504.47x = 87,822,793.22
  5. Step 5: Solve for x
    x = 87,822,793.22/9,504.47
  6. Step 6: Final answer
    x = 9,240.16

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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.