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Finding the Fourth Proportional to 9,505.09, 13,118.15 and 5,730.16

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Solution

The fourth proportional to 9,505.09, 13,118.15 and 5,730.16 is: 7,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.09 : 13,118.15 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    9,505.09/13,118.15 = 5,730.16/x
  3. Step 3: Cross multiply
    9,505.09x = 13,118.15 × 5,730.16
  4. Step 4: Simplify right side
    9,505.09x = 75,169,072.30
  5. Step 5: Solve for x
    x = 75,169,072.30/9,505.09
  6. Step 6: Final answer
    x = 7,908.30

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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.