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Finding the Fourth Proportional to 7,001.19, 9,661.77 and 3,857.31

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Solution

The fourth proportional to 7,001.19, 9,661.77 and 3,857.31 is: 5,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.19 : 9,661.77 = 3,857.31 : x
  2. Step 2: Convert to fraction form
    7,001.19/9,661.77 = 3,857.31/x
  3. Step 3: Cross multiply
    7,001.19x = 9,661.77 × 3,857.31
  4. Step 4: Simplify right side
    7,001.19x = 37,268,442.04
  5. Step 5: Solve for x
    x = 37,268,442.04/7,001.19
  6. Step 6: Final answer
    x = 5,323.16

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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.