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Finding the Fourth Proportional to 7,001.16, 9,661.48 and 3,857.28

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Solution

The fourth proportional to 7,001.16, 9,661.48 and 3,857.28 is: 5,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.16 : 9,661.48 = 3,857.28 : x
  2. Step 2: Convert to fraction form
    7,001.16/9,661.48 = 3,857.28/x
  3. Step 3: Cross multiply
    7,001.16x = 9,661.48 × 3,857.28
  4. Step 4: Simplify right side
    7,001.16x = 37,267,033.57
  5. Step 5: Solve for x
    x = 37,267,033.57/7,001.16
  6. Step 6: Final answer
    x = 5,322.98

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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.